Perspectives In Representation Theory

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Perspectives in Representation Theory

Pavel Etingof,Mikhail Khovanov,Alistair Savage
Perspectives in Representation Theory Book PDF

Author : Pavel Etingof,Mikhail Khovanov,Alistair Savage
Publisher : American Mathematical Soc.
Page : 384 pages
File Size : 48,7 Mb
Release : 2014-03-11
Category : Mathematics
ISBN : 9780821891704

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Perspectives in Representation Theory by Pavel Etingof,Mikhail Khovanov,Alistair Savage Pdf

This volume contains the proceedings of the conference Perspectives in Representation Theory, held from May 12-17, 2012, at Yale University, in honor of Igor Frenkel's 60th birthday. The aim of the conference was to present current progress on the following (interrelated) topics: vertex operator algebras and chiral algebras, conformal field theory, the (geometric) Langlands program, affine Lie algebras, Kac-Moody algebras, quantum groups, crystal bases and canonical bases, quantum cohomology and K-theory, geometric representation theory, categorification, higher-dimensional Kac-Moody theory, integrable systems, quiver varieties, representations of real and -adic groups, and quantum gauge theories. The papers in this volume present representation theory connections to numerous other subjects, as well as some of the most recent advances in representation theory, including those which occurred thanks to the application of techniques in other areas of mathematics, and of ideas of quantum field theory and string theory.

Representation Theory -- Current Trends and Perspectives

Henning Krause,Peter Littelmann,Gunter Malle,Karl-Hermann Neeb,Christoph Schweigert
Representation Theory Current Trends and Perspectives Book PDF

Author : Henning Krause,Peter Littelmann,Gunter Malle,Karl-Hermann Neeb,Christoph Schweigert
Publisher : Unknown
Page : 0 pages
File Size : 46,6 Mb
Release : 2017
Category : Affine algebraic groups
ISBN : 3037191716

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Representation Theory -- Current Trends and Perspectives by Henning Krause,Peter Littelmann,Gunter Malle,Karl-Hermann Neeb,Christoph Schweigert Pdf

From April 2009 until March 2016, the German Science Foundation generously supported the Priority Program SPP 1388 in Representation Theory. The core principles of the projects realized in the framework of the priority program have been categorification and geometrization, which are also reflected in the contributions to this volume. Apart from the articles by former postdocs supported by the priority program, the volume contains a number of invited research and survey articles. This volume covers current research topics from the representation theory of finite groups, of algebraic groups, of Lie superalgebras, of finite dimensional algebras, and of infinite dimensional Lie groups. Graduate students and researchers in mathematics interested in representation theory will find this volume inspiring. It contains many stimulating contributions to the development of this broad and extremely diverse subject.

Algebraic and Analytic Methods in Representation Theory

Anonim
Algebraic and Analytic Methods in Representation Theory Book PDF

Author : Anonim
Publisher : Elsevier
Page : 343 pages
File Size : 48,8 Mb
Release : 1996-09-27
Category : Mathematics
ISBN : 9780080526959

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Algebraic and Analytic Methods in Representation Theory by Anonim Pdf

This book is a compilation of several works from well-recognized figures in the field of Representation Theory. The presentation of the topic is unique in offering several different points of view, which should makethe book very useful to students and experts alike. Presents several different points of view on key topics in representation theory, from internationally known experts in the field

Persistence Theory: From Quiver Representations to Data Analysis

Steve Y. Oudot
Persistence Theory From Quiver Representations to Data Analysis Book PDF

Author : Steve Y. Oudot
Publisher : American Mathematical Soc.
Page : 218 pages
File Size : 41,6 Mb
Release : 2017-05-17
Category : Electronic
ISBN : 9781470434434

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Persistence Theory: From Quiver Representations to Data Analysis by Steve Y. Oudot Pdf

Persistence theory emerged in the early 2000s as a new theory in the area of applied and computational topology. This book provides a broad and modern view of the subject, including its algebraic, topological, and algorithmic aspects. It also elaborates on applications in data analysis. The level of detail of the exposition has been set so as to keep a survey style, while providing sufficient insights into the proofs so the reader can understand the mechanisms at work. The book is organized into three parts. The first part is dedicated to the foundations of persistence and emphasizes its connection to quiver representation theory. The second part focuses on its connection to applications through a few selected topics. The third part provides perspectives for both the theory and its applications. The book can be used as a text for a course on applied topology or data analysis.

Representation Theory, Mathematical Physics, and Integrable Systems

Anton Alekseev,Edward Frenkel,Marc Rosso,Ben Webster,Milen Yakimov
Representation Theory Mathematical Physics and Integrable Systems Book PDF

Author : Anton Alekseev,Edward Frenkel,Marc Rosso,Ben Webster,Milen Yakimov
Publisher : Springer Nature
Page : 652 pages
File Size : 41,7 Mb
Release : 2022-02-05
Category : Mathematics
ISBN : 9783030781484

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Representation Theory, Mathematical Physics, and Integrable Systems by Anton Alekseev,Edward Frenkel,Marc Rosso,Ben Webster,Milen Yakimov Pdf

Over the course of his distinguished career, Nicolai Reshetikhin has made a number of groundbreaking contributions in several fields, including representation theory, integrable systems, and topology. The chapters in this volume – compiled on the occasion of his 60th birthday – are written by distinguished mathematicians and physicists and pay tribute to his many significant and lasting achievements. Covering the latest developments at the interface of noncommutative algebra, differential and algebraic geometry, and perspectives arising from physics, this volume explores topics such as the development of new and powerful knot invariants, new perspectives on enumerative geometry and string theory, and the introduction of cluster algebra and categorification techniques into a broad range of areas. Chapters will also cover novel applications of representation theory to random matrix theory, exactly solvable models in statistical mechanics, and integrable hierarchies. The recent progress in the mathematical and physicals aspects of deformation quantization and tensor categories is also addressed. Representation Theory, Mathematical Physics, and Integrable Systems will be of interest to a wide audience of mathematicians interested in these areas and the connections between them, ranging from graduate students to junior, mid-career, and senior researchers.

Perspectives on Mental Representation

Jacques Mehler,Edward C.T. Walker,Merrill Garrett
Perspectives on Mental Representation Book PDF

Author : Jacques Mehler,Edward C.T. Walker,Merrill Garrett
Publisher : Routledge
Page : 478 pages
File Size : 44,5 Mb
Release : 2017-03-16
Category : Psychology
ISBN : 9781315521916

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Perspectives on Mental Representation by Jacques Mehler,Edward C.T. Walker,Merrill Garrett Pdf

Originally published in 1982, the editors felt that their field was clearly in need of explanatory accounts for many different areas. This volume presents statements of the status of research in several areas by scholars at the forefront of the discipline. It tries at the same time to juxtapose theoretical and experimental perspectives in order to display some of the major lines of tension in the field. Divided into 5 parts it covers: Theoretical Perspectives; Experimental Studies in Processing; Neuropsychological Studies in Processing; Studies in Development; followed by Commentary on some specific chapters.

Perspectives in Lie Theory

Filippo Callegaro,Giovanna Carnovale,Fabrizio Caselli,Corrado De Concini,Alberto De Sole
Perspectives in Lie Theory Book PDF

Author : Filippo Callegaro,Giovanna Carnovale,Fabrizio Caselli,Corrado De Concini,Alberto De Sole
Publisher : Springer
Page : 461 pages
File Size : 43,6 Mb
Release : 2017-12-07
Category : Mathematics
ISBN : 9783319589718

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Perspectives in Lie Theory by Filippo Callegaro,Giovanna Carnovale,Fabrizio Caselli,Corrado De Concini,Alberto De Sole Pdf

Lie theory is a mathematical framework for encoding the concept of symmetries of a problem, and was the central theme of an INdAM intensive research period at the Centro de Giorgi in Pisa, Italy, in the academic year 2014-2015. This book gathers the key outcomes of this period, addressing topics such as: structure and representation theory of vertex algebras, Lie algebras and superalgebras, as well as hyperplane arrangements with different approaches, ranging from geometry and topology to combinatorics.

Lectures on Representation Theory and Knizhnik-Zamolodchikov Equations

Pavel I. Etingof,Igor Frenkel,Alexander A. Kirillov
Lectures on Representation Theory and Knizhnik Zamolodchikov Equations Book PDF

Author : Pavel I. Etingof,Igor Frenkel,Alexander A. Kirillov
Publisher : American Mathematical Soc.
Page : 215 pages
File Size : 49,7 Mb
Release : 1998
Category : Broken symmetry (Physics).
ISBN : 9780821804964

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Lectures on Representation Theory and Knizhnik-Zamolodchikov Equations by Pavel I. Etingof,Igor Frenkel,Alexander A. Kirillov Pdf

This text is devoted to mathematical structures arising in conformal field theory and the q-deformations. The authors give a self-contained exposition of the theory of Knizhnik-Zamolodchikov equations and related topics. No previous knowledge of physics is required. The text is suitable for a one-semester graduate course and is intended for graduate students and research mathematicians interested in mathematical physics.

Social Representations for the Anthropocene: Latin American Perspectives

Clarilza Prado de Sousa,Serena Eréndira Serrano Oswald
Social Representations for the Anthropocene Latin American Perspectives Book PDF

Author : Clarilza Prado de Sousa,Serena Eréndira Serrano Oswald
Publisher : Springer Nature
Page : 424 pages
File Size : 44,6 Mb
Release : 2021-04-30
Category : Science
ISBN : 9783030677787

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Social Representations for the Anthropocene: Latin American Perspectives by Clarilza Prado de Sousa,Serena Eréndira Serrano Oswald Pdf

The Anthropocene has become a field of studies in which the influence of human activity on the Earth System and nature is both the main threat and the potential solution. Social Representations Theory has been evolving since the 1960s.It links knowledge and practice in everyday life and is an effective way to deal with systemic crises based on common sense. This book assembles key contributions by Latin American scholars working with social representations in the social sciences that are of conceptual relevance to the study of the Anthropocene and that investigate the societal consequences of complex interrelations between common sense and topics of global relevance, such asthe contradictions of sustainable development, the construction of risks beyond risk-perception, health, negotiation and governance in the field of education, gender equality, the usefulness of longitudinal and systemic ethnography and case studies, and agency and the link between inequality, crises and risk society in the context of COVID-19, presenting theoretical and methodological innovations fromSpanish, Portuguese and Frenchresearchthat have rarely been available in English. • This is the first book to address the relevance of Social Representations Theory for the Anthropocene as a societal era• It presents the multidisciplinary scope of Social Representations• This book covers emerging research contributions in Social Representations Theory from Latin America• This book presents innovative research and commentaries by established researchers in the field• This multidisciplinary book should be in the libraries of many disciplines in the social sciences and humanities

Handbook of Learning from Multiple Representations and Perspectives

Peggy Van Meter,Alexandra List,Doug Lombardi,Panayiota Kendeou
Handbook of Learning from Multiple Representations and Perspectives Book PDF

Author : Peggy Van Meter,Alexandra List,Doug Lombardi,Panayiota Kendeou
Publisher : Routledge
Page : 696 pages
File Size : 40,7 Mb
Release : 2020-03-10
Category : Education
ISBN : 9780429813658

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Handbook of Learning from Multiple Representations and Perspectives by Peggy Van Meter,Alexandra List,Doug Lombardi,Panayiota Kendeou Pdf

In and out of formal schooling, online and off, today’s learners must consume and integrate a level of information that is exponentially larger and delivered through a wider range of formats and viewpoints than ever before. The Handbook of Learning from Multiple Representations and Perspectives provides a path for understanding the cognitive, motivational, and socioemotional processes and skills necessary for learners across educational contexts to make sense of and use information sourced from varying inputs. Uniting research and theory from education, psychology, literacy, library sciences, media and technology, and more, this forward-thinking volume explores the common concerns, shared challenges, and thematic patterns in our capacity to make meaning in an information-rich society. Chapter 16 of this book is freely available as a downloadable Open Access PDF under a Creative Commons Attribution-Non Commercial-No Derivatives 4.0 license available at http://www.taylorfrancis.com/books/e/9780429443961.

Group Matrices, Group Determinants and Representation Theory

Kenneth W. Johnson
Group Matrices Group Determinants and Representation Theory Book PDF

Author : Kenneth W. Johnson
Publisher : Springer Nature
Page : 384 pages
File Size : 54,5 Mb
Release : 2019-11-08
Category : Mathematics
ISBN : 9783030283001

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Group Matrices, Group Determinants and Representation Theory by Kenneth W. Johnson Pdf

This book sets out an account of the tools which Frobenius used to discover representation theory for nonabelian groups and describes its modern applications. It provides a new viewpoint from which one can examine various aspects of representation theory and areas of application, such as probability theory and harmonic analysis. For example, the focal objects of this book, group matrices, can be thought of as a generalization of the circulant matrices which are behind many important algorithms in information science. The book is designed to appeal to several audiences, primarily mathematicians working either in group representation theory or in areas of mathematics where representation theory is involved. Parts of it may be used to introduce undergraduates to representation theory by studying the appealing pattern structure of group matrices. It is also intended to attract readers who are curious about ideas close to the heart of group representation theory, which do not usually appear in modern accounts, but which offer new perspectives.

Theoretical Chemistry Advances and Perspectives V2

Henry Eyring
Theoretical Chemistry Advances and Perspectives V2 Book PDF

Author : Henry Eyring
Publisher : Elsevier
Page : 311 pages
File Size : 49,5 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780323156561

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Theoretical Chemistry Advances and Perspectives V2 by Henry Eyring Pdf

Theoretical Chemistry: Advances and Perspectives, Volume 2 covers all aspects of theoretical chemistry. This book reviews the techniques that have been proven successful in the study of interatomic potentials in order to describe the interactions between complex molecules. The ground state properties of the interacting electron gas when a magnetic field is present are also elaborated, followed by a discussion on the Gellman-Brueckner-Macke theory of the correlation energy that has applications in atomic and molecular systems. This volume considers the instability of the Hartree-Fock ground state in a magnetic field and very high magnetic fields that are pertinent to the structure of matter in collapsed stellar objects. The electron-hole plasma in certain highly-doped semiconductors and many-electron correlation problem are likewise included. This publication is a good reference for students and researchers conducting work on the mathematical description of chemistry.

Representation Theory, Number Theory, and Invariant Theory

Jim Cogdell,Ju-Lee Kim,Chen-Bo Zhu
Representation Theory Number Theory and Invariant Theory Book PDF

Author : Jim Cogdell,Ju-Lee Kim,Chen-Bo Zhu
Publisher : Birkhäuser
Page : 626 pages
File Size : 43,9 Mb
Release : 2017-10-19
Category : Mathematics
ISBN : 9783319597287

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Representation Theory, Number Theory, and Invariant Theory by Jim Cogdell,Ju-Lee Kim,Chen-Bo Zhu Pdf

This book contains selected papers based on talks given at the "Representation Theory, Number Theory, and Invariant Theory" conference held at Yale University from June 1 to June 5, 2015. The meeting and this resulting volume are in honor of Professor Roger Howe, on the occasion of his 70th birthday, whose work and insights have been deeply influential in the development of these fields. The speakers who contributed to this work include Roger Howe's doctoral students, Roger Howe himself, and other world renowned mathematicians. Topics covered include automorphic forms, invariant theory, representation theory of reductive groups over local fields, and related subjects.

Representation Theory and Harmonic Analysis on Symmetric Spaces

Jens Gerlach Christensen,Susanna Dann,Matthew Dawson
Representation Theory and Harmonic Analysis on Symmetric Spaces Book PDF

Author : Jens Gerlach Christensen,Susanna Dann,Matthew Dawson
Publisher : American Mathematical Soc.
Page : 303 pages
File Size : 55,8 Mb
Release : 2018-08-27
Category : Festschriften
ISBN : 9781470440701

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Representation Theory and Harmonic Analysis on Symmetric Spaces by Jens Gerlach Christensen,Susanna Dann,Matthew Dawson Pdf

This volume contains the proceedings of the AMS Special Session on Harmonic Analysis, in honor of Gestur Ólafsson's 65th birthday, held on January 4, 2017, in Atlanta, Georgia. The articles in this volume provide fresh perspectives on many different directions within harmonic analysis, highlighting the connections between harmonic analysis and the areas of integral geometry, complex analysis, operator algebras, Lie algebras, special functions, and differential operators. The breadth of contributions highlights the diversity of current research in harmonic analysis and shows that it continues to be a vibrant and fruitful field of inquiry.

Modern Perspectives in Type-Theoretical Semantics

Stergios Chatzikyriakidis,Zhaohui Luo
Modern Perspectives in Type Theoretical Semantics Book PDF

Author : Stergios Chatzikyriakidis,Zhaohui Luo
Publisher : Springer
Page : 296 pages
File Size : 53,5 Mb
Release : 2017-02-07
Category : Language Arts & Disciplines
ISBN : 9783319504223

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Modern Perspectives in Type-Theoretical Semantics by Stergios Chatzikyriakidis,Zhaohui Luo Pdf

This book is a collective volume that reports the state of the art in the applications of type theory to linguistic semantics. The volume fills a 20 year gap from the last published book on the issue and aspires to bring researchers closer to cutting edge alternatives in formal semantics research. It consists of unpublished work by some key researchers on various issues related to the type theoretical study of formal semantics and further exemplifies the advantages of using modern type theoretical approaches to linguistic semantics. Themes that are covered include modern developments of type theories in formal semantics, foundational issues in linguistic semantics like anaphora, modality and plurals, innovational interdisciplinary research like the introduction of probability theory to type theories as well as computational implementations of type theoretical approaches. This volume will be of great interest to formal semanticists that are looking for alternative ways to study linguistic semantics, but will also be of interest to theoretical computer scientists and mathematicians that are interested in the applications of type theory.