Recent Developments In Algebraic And Combinatorial Aspects Of Representation Theory

Author : Vyjayanthi Chari,Jacob Greenstein,Kailash C. Misra,K. N. Raghavan,Sankaran Viswanath
Publisher : American Mathematical Soc.
Page : 222 pages
File Size : 46,6 Mb
Release : 2013-11-25
Category : Mathematics
ISBN : 9780821890370

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Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory by Vyjayanthi Chari,Jacob Greenstein,Kailash C. Misra,K. N. Raghavan,Sankaran Viswanath Pdf

This volume contains the proceedings of the International Congress of Mathematicians Satellite Conference on Algebraic and Combinatorial Approaches to Representation Theory, held August 12-16, 2010, at the National Institute of Advanced Studies, Bangalore, India, and the follow-up conference held May 18-20, 2012, at the University of California, USA. It contains original research and survey articles on various topics in the theory of representations of Lie algebras, quantum groups and algebraic groups, including crystal bases, categorification, toroidal algebras and their generalisations, vertex algebras, Hecke algebras, Kazhdan-Lusztig bases, $q$-Schur algebras, and Weyl algebras.

Author : Vyjayanthi Chari
Publisher : Unknown
Page : 201 pages
File Size : 41,6 Mb
Release : 2013
Category : Associative rings
ISBN : 1470411059

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Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory by Vyjayanthi Chari Pdf

Author : Hélène Barcelo,Gizem Karaali,Rosa Orellana
Publisher : Springer
Page : 362 pages
File Size : 48,5 Mb
Release : 2019-01-21
Category : Mathematics
ISBN : 9783030051419

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Recent Trends in Algebraic Combinatorics by Hélène Barcelo,Gizem Karaali,Rosa Orellana Pdf

This edited volume features a curated selection of research in algebraic combinatorics that explores the boundaries of current knowledge in the field. Focusing on topics experiencing broad interest and rapid growth, invited contributors offer survey articles on representation theory, symmetric functions, invariant theory, and the combinatorics of Young tableaux. The volume also addresses subjects at the intersection of algebra, combinatorics, and geometry, including the study of polytopes, lattice points, hyperplane arrangements, crystal graphs, and Grassmannians. All surveys are written at an introductory level that emphasizes recent developments and open problems. An interactive tutorial on Schubert Calculus emphasizes the geometric and topological aspects of the topic and is suitable for combinatorialists as well as geometrically minded researchers seeking to gain familiarity with relevant combinatorial tools. Featured authors include prominent women in the field known for their exceptional writing of deep mathematics in an accessible manner. Each article in this volume was reviewed independently by two referees. The volume is suitable for graduate students and researchers interested in algebraic combinatorics.

Author : Naihuan Jing
Publisher : World Scientific
Page : 172 pages
File Size : 53,6 Mb
Release : 2003-06-27
Category : Science
ISBN : 9789814485500

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Algebraic Combinatorics and Quantum Groups by Naihuan Jing Pdf

Algebraic combinatorics has evolved into one of the most active areas of mathematics during the last several decades. Its recent developments have become more interactive with not only its traditional field representation theory but also algebraic geometry, harmonic analysis and mathematical physics. This book presents articles from some of the key contributors in the area. It covers Hecke algebras, Hall algebras, the Macdonald polynomial and its deviations, and their relations with other fields. Contents:Uno's Conjecture on Representation Types of Hecke Algebras (S Ariki)Quiver Varieties, Afine Lie Algebras, Algebras of BPS States, and Semicanonical Basis (I Frenkel et al.)Divided Differences of Type D and the Grassmannian of Complex Structures (H Duan & P Pragacz)Tableaux Statistics For Two Part Macdonald Polynomials (L Lapointe & J Morse)A Crystal to Rigged Configuration Bijection for Nonexceptional Affine Algebras (M Okado et al.)Littlewood's Formulas for Characters of Orthogonal and Symplectic Groups (A Lascoux)A q-Analog of Schur's Q-Functions (G Tudose & M Zabrocki) Readership: Researchers and graduate students in algebraic combinatorics, representation theory and quantum groups. Keywords:Algebras;Representation Theory;Polynomid;Varities;Q-Functions

Author : Seok-Jin Kang,Kyu-Hwan Lee
Publisher : American Mathematical Soc.
Page : 202 pages
File Size : 55,8 Mb
Release : 2003
Category : Combinatorial analysis
ISBN : 9780821832127

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Combinatorial and Geometric Representation Theory by Seok-Jin Kang,Kyu-Hwan Lee Pdf

This volume presents the proceedings of the international conference on Combinatorial and Geometric Representation Theory. In the field of representation theory, a wide variety of mathematical ideas are providing new insights, giving powerful methods for understanding the theory, and presenting various applications to other branches of mathematics. Over the past two decades, there have been remarkable developments. This book explains the strong connections between combinatorics, geometry, and representation theory. It is suitable for graduate students and researchers interested in representation theory.

Author : Hélène Barcelo,Gizem Karaali,Rosa Orellana
Publisher : Unknown
Page : 362 pages
File Size : 49,9 Mb
Release : 2019
Category : Combinatorial analysis
ISBN : 3030051420

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Recent Trends in Algebraic Combinatorics by Hélène Barcelo,Gizem Karaali,Rosa Orellana Pdf

This edited volume features a curated selection of research in algebraic combinatorics that explores the boundaries of current knowledge in the field. Focusing on topics experiencing broad interest and rapid growth, invited contributors offer survey articles on representation theory, symmetric functions, invariant theory, and the combinatorics of Young tableaux. The volume also addresses subjects at the intersection of algebra, combinatorics, and geometry, including the study of polytopes, lattice points, hyperplane arrangements, crystal graphs, and Grassmannians. All surveys are written at an introductory level that emphasizes recent developments and open problems. An interactive tutorial on Schubert Calculus emphasizes the geometric and topological aspects of the topic and is suitable for combinatorialists as well as geometrically minded researchers seeking to gain familiarity with relevant combinatorial tools.

Author : V. Kaimanovich,A. Lodkin
Publisher : American Mathematical Soc.
Page : 258 pages
File Size : 41,7 Mb
Release : 2011-11-09
Category : Mathematics
ISBN : 9780821872895

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Representation Theory, Dynamical Systems, and Asymptotic Combinatorics by V. Kaimanovich,A. Lodkin Pdf

This volume, devoted to the 70th birthday of the well-known St. Petersburg mathematician A. M. Vershik, contains a collection of articles by participants in the conference "Representation Theory, Dynamical Systems, and Asymptotic Combinatorics", held in St. Petersburg in June of 2004. The book is suitable for graduate students and researchers interested in combinatorial and dynamical aspects of group representation theory.

Author : Pavel Etingof,Mikhail Khovanov,Alistair Savage
Publisher : American Mathematical Soc.
Page : 384 pages
File Size : 55,8 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.

Author : Alexander Barg,Oleg R. Musin
Publisher : American Mathematical Society
Page : 202 pages
File Size : 41,8 Mb
Release : 2014-08-28
Category : Mathematics
ISBN : 9781470409050

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Discrete Geometry and Algebraic Combinatorics by Alexander Barg,Oleg R. Musin Pdf

This volume contains the proceedings of the AMS Special Session on Discrete Geometry and Algebraic Combinatorics held on January 11, 2013, in San Diego, California. The collection of articles in this volume is devoted to packings of metric spaces and related questions, and contains new results as well as surveys of some areas of discrete geometry. This volume consists of papers on combinatorics of transportation polytopes, including results on the diameter of graphs of such polytopes; the generalized Steiner problem and related topics of the minimal fillings theory; a survey of distance graphs and graphs of diameters, and a group of papers on applications of algebraic combinatorics to packings of metric spaces including sphere packings and topics in coding theory. In particular, this volume presents a new approach to duality in sphere packing based on the Poisson summation formula, applications of semidefinite programming to spherical codes and equiangular lines, new results in list decoding of a family of algebraic codes, and constructions of bent and semi-bent functions.

Author : Dinh Van Huynh, S. K. Jain, Sergio R. López-Permouth,S. Tariq Rizvi,Cosmin S. Roman
Publisher : American Mathematical Soc.
Page : 330 pages
File Size : 46,9 Mb
Release : 2014-02-21
Category : Mathematics
ISBN : 9780821887974

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Ring Theory and Its Applications by Dinh Van Huynh, S. K. Jain, Sergio R. López-Permouth,S. Tariq Rizvi,Cosmin S. Roman Pdf

This volume contains the proceedings of the Ring Theory Session in honor of T. Y. Lam's 70th birthday, at the 31st Ohio State-Denison Mathematics Conference, held from May 25-27, 2012, at The Ohio State University, Columbus, Ohio. Included are expository articles and research papers covering topics such as cyclically presented modules, Eggert's conjecture, the Mittag-Leffler conditions, clean rings, McCoy rings, QF rings, projective and injective modules, Baer modules, and Leavitt path algebras. Graduate students and researchers in many areas of algebra will find this volume valuable as the papers point out many directions for future work; in particular, several articles contain explicit lists of open questions.

Author : Ulrike Tillmann, Søren Galatius, Dev Sinha
Publisher : American Mathematical Soc.
Page : 350 pages
File Size : 40,9 Mb
Release : 2014-07-14
Category : Mathematics
ISBN : 9780821894743

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Algebraic Topology: Applications and New Directions by Ulrike Tillmann, Søren Galatius, Dev Sinha Pdf

This volume contains the proceedings of the Stanford Symposium on Algebraic Topology: Applications and New Directions, held from July 23-27, 2012, at Stanford University, Stanford, California. The symposium was held in honor of Gunnar Carlsson, Ralph Cohen and Ib Madsen, who celebrated their 60th and 70th birthdays that year. It showcased current research in Algebraic Topology reflecting the celebrants' broad interests and profound influence on the subject. The topics varied broadly from stable equivariant homotopy theory to persistent homology and application in data analysis, covering topological aspects of quantum physics such as string topology and geometric quantization, examining homology stability in algebraic and geometric contexts, including algebraic -theory and the theory of operads.

Author : Bruno Benedetti,Emanuele Delucchi,Luca Moci
Publisher : Springer
Page : 227 pages
File Size : 45,8 Mb
Release : 2015-10-31
Category : Mathematics
ISBN : 9783319201559

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Combinatorial Methods in Topology and Algebra by Bruno Benedetti,Emanuele Delucchi,Luca Moci Pdf

Combinatorics plays a prominent role in contemporary mathematics, due to the vibrant development it has experienced in the last two decades and its many interactions with other subjects. This book arises from the INdAM conference "CoMeTA 2013 - Combinatorial Methods in Topology and Algebra,'' which was held in Cortona in September 2013. The event brought together emerging and leading researchers at the crossroads of Combinatorics, Topology and Algebra, with a particular focus on new trends in subjects such as: hyperplane arrangements; discrete geometry and combinatorial topology; polytope theory and triangulations of manifolds; combinatorial algebraic geometry and commutative algebra; algebraic combinatorics; and combinatorial representation theory. The book is divided into two parts. The first expands on the topics discussed at the conference by providing additional background and explanations, while the second presents original contributions on new trends in the topics addressed by the conference.

Author : James W. Cogdell,Freydoon Shahidi,David Soudry
Publisher : American Mathematical Soc.
Page : 454 pages
File Size : 43,8 Mb
Release : 2014-04-01
Category : Mathematics
ISBN : 9780821893944

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Automorphic Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro by James W. Cogdell,Freydoon Shahidi,David Soudry Pdf

This volume contains the proceedings of the conference Automorphic Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro, held from April 23-27, 2012, at Yale University, New Haven, CT. Ilya I. Piatetski-Shapiro, who passed away on 21 February 2009, was a leading figure in the theory of automorphic forms. The conference attempted both to summarize and consolidate the progress that was made during Piatetski-Shapiro's lifetime by him and a substantial group of his co-workers, and to promote future work by identifying fruitful directions of further investigation. It was organized around several themes that reflected Piatetski-Shapiro's main foci of work and that have promise for future development: functoriality and converse theorems; local and global -functions and their periods; -adic -functions and arithmetic geometry; complex geometry; and analytic number theory. In each area, there were talks to review the current state of affairs with special attention to Piatetski-Shapiro's contributions, and other talks to report on current work and to outline promising avenues for continued progress. The contents of this volume reflect most of the talks that were presented at the conference as well as a few additional contributions. They all represent various aspects of the legacy of Piatetski-Shapiro.

Author : Pramod M. Achar,Dijana Jakelić,Kailash C. Misra,Milen Yakimov
Publisher : American Mathematical Society
Page : 296 pages
File Size : 46,6 Mb
Release : 2014-08-27
Category : Mathematics
ISBN : 9780821898529

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Recent Advances in Representation Theory, Quantum Groups, Algebraic Geometry, and Related Topics by Pramod M. Achar,Dijana Jakelić,Kailash C. Misra,Milen Yakimov Pdf

This volume contains the proceedings of two AMS Special Sessions "Geometric and Algebraic Aspects of Representation Theory" and "Quantum Groups and Noncommutative Algebraic Geometry" held October 13–14, 2012, at Tulane University, New Orleans, Louisiana. Included in this volume are original research and some survey articles on various aspects of representations of algebras including Kac—Moody algebras, Lie superalgebras, quantum groups, toroidal algebras, Leibniz algebras and their connections with other areas of mathematics and mathematical physics.

Author : Kailash C. Misra,Daniel Ken Nakano,Brian Parshall
Publisher : American Mathematical Soc.
Page : 330 pages
File Size : 48,7 Mb
Release : 2012
Category : Mathematics
ISBN : 9780821869178

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Recent Developments in Lie Algebras, Groups and Representation Theory by Kailash C. Misra,Daniel Ken Nakano,Brian Parshall Pdf

This book contains the proceedings of the 2009-2011 Southeastern Lie Theory Workshop Series, held October 9-11, 2009 at North Carolina State University, May 22-24, 2010, at the University of Georgia, and June 1-4, 2011 at the University of Virginia. Some of the articles, written by experts in the field, survey recent developments while others include new results in Lie algebras, quantum groups, finite groups, and algebraic groups.