Noncommutative Birational Geometry Representations And Combinatorics

Noncommutative Birational Geometry Representations And Combinatorics Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Noncommutative Birational Geometry Representations And Combinatorics book. This book definitely worth reading, it is an incredibly well-written.

Noncommutative Birational Geometry, Representations and Combinatorics

Arkady. Berenstein,Vladimir. Retakh
Noncommutative Birational Geometry Representations and Combinatorics Book PDF

Author : Arkady. Berenstein,Vladimir. Retakh
Publisher : American Mathematical Soc.
Page : 265 pages
File Size : 42,7 Mb
Release : 2013-05-01
Category : Mathematics
ISBN : 9780821889800

Get Book

Noncommutative Birational Geometry, Representations and Combinatorics by Arkady. Berenstein,Vladimir. Retakh Pdf

"This volume contains the proceedings of the AMS Special Session on Noncommutative Birational Geometry, Representations and Cluster Algebras, held from January 6-7, 2012, in Boston, MA. The papers deal with various aspects of noncommutative birational geometry and related topics, focusing mainly on structure and representations of quantum groups and algebras, braided algebras, rational series in free groups, Poisson brackets on free algebras, and related problems in combinatorics. This volume is useful for researchers and graduate students in mathematics and mathematical physics who want to be introduced to different areas of current research in the new area of noncommutative algebra and geometry."--Publisher's website.

Noncommutative Algebraic Geometry and Representations of Quantized Algebras

A. Rosenberg
Noncommutative Algebraic Geometry and Representations of Quantized Algebras Book PDF

Author : A. Rosenberg
Publisher : Springer Science & Business Media
Page : 333 pages
File Size : 50,7 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401584302

Get Book

Noncommutative Algebraic Geometry and Representations of Quantized Algebras by A. Rosenberg Pdf

This book is based on lectures delivered at Harvard in the Spring of 1991 and at the University of Utah during the academic year 1992-93. Formally, the book assumes only general algebraic knowledge (rings, modules, groups, Lie algebras, functors etc.). It is helpful, however, to know some basics of algebraic geometry and representation theory. Each chapter begins with its own introduction, and most sections even have a short overview. The purpose of what follows is to explain the spirit of the book and how different parts are linked together without entering into details. The point of departure is the notion of the left spectrum of an associative ring, and the first natural steps of general theory of noncommutative affine, quasi-affine, and projective schemes. This material is presented in Chapter I. Further developments originated from the requirements of several important examples I tried to understand, to begin with the first Weyl algebra and the quantum plane. The book reflects these developments as I worked them out in reallife and in my lectures. In Chapter 11, we study the left spectrum and irreducible representations of a whole lot of rings which are of interest for modern mathematical physics. The dasses of rings we consider indude as special cases: quantum plane, algebra of q-differential operators, (quantum) Heisenberg and Weyl algebras, (quantum) enveloping algebra ofthe Lie algebra sl(2) , coordinate algebra of the quantum group SL(2), the twisted SL(2) of Woronowicz, so called dispin algebra and many others.

Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory

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

Author : Vyjayanthi Chari,Jacob Greenstein,Kailash C. Misra,K. N. Raghavan,Sankaran Viswanath
Publisher : American Mathematical Soc.
Page : 222 pages
File Size : 46,9 Mb
Release : 2013-11-25
Category : Mathematics
ISBN : 9780821890370

Get Book

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.

Noncommutative Geometry

Igor V. Nikolaev
Noncommutative Geometry Book PDF

Author : Igor V. Nikolaev
Publisher : Walter de Gruyter GmbH & Co KG
Page : 276 pages
File Size : 49,8 Mb
Release : 2017-11-07
Category : Mathematics
ISBN : 9783110545258

Get Book

Noncommutative Geometry by Igor V. Nikolaev Pdf

This book covers the basics of noncommutative geometry (NCG) and its applications in topology, algebraic geometry, and number theory. The author takes up the practical side of NCG and its value for other areas of mathematics. A brief survey of the main parts of NCG with historical remarks, bibliography, and a list of exercises is included. The presentation is intended for graduate students and researchers with interests in NCG, but will also serve nonexperts in the field. Contents Part I: Basics Model examples Categories and functors C∗-algebras Part II: Noncommutative invariants Topology Algebraic geometry Number theory Part III: Brief survey of NCG Finite geometries Continuous geometries Connes geometries Index theory Jones polynomials Quantum groups Noncommutative algebraic geometry Trends in noncommutative geometry

An Introduction to Quiver Representations

Harm Derksen,Jerzy Weyman
An Introduction to Quiver Representations Book PDF

Author : Harm Derksen,Jerzy Weyman
Publisher : American Mathematical Soc.
Page : 344 pages
File Size : 53,5 Mb
Release : 2017-11-29
Category : Directed graphs
ISBN : 9781470425562

Get Book

An Introduction to Quiver Representations by Harm Derksen,Jerzy Weyman Pdf

This book is an introduction to the representation theory of quivers and finite dimensional algebras. It gives a thorough and modern treatment of the algebraic approach based on Auslander-Reiten theory as well as the approach based on geometric invariant theory. The material in the opening chapters is developed starting slowly with topics such as homological algebra, Morita equivalence, and Gabriel's theorem. Next, the book presents Auslander-Reiten theory, including almost split sequences and the Auslander-Reiten transform, and gives a proof of Kac's generalization of Gabriel's theorem. Once this basic material is established, the book goes on with developing the geometric invariant theory of quiver representations. The book features the exposition of the saturation theorem for semi-invariants of quiver representations and its application to Littlewood-Richardson coefficients. In the final chapters, the book exposes tilting modules, exceptional sequences and a connection to cluster categories. The book is suitable for a graduate course in quiver representations and has numerous exercises and examples throughout the text. The book will also be of use to experts in such areas as representation theory, invariant theory and algebraic geometry, who want to learn about applications of quiver representations to their fields.

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 : 53,9 Mb
Release : 2014-03-11
Category : Mathematics
ISBN : 9780821891704

Get Book

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.

Commutative Algebra and Noncommutative Algebraic Geometry

David Eisenbud,Srikanth B. Iyengar,Anurag K. Singh,J. Toby Stafford,Michel Van den Bergh
Commutative Algebra and Noncommutative Algebraic Geometry Book PDF

Author : David Eisenbud,Srikanth B. Iyengar,Anurag K. Singh,J. Toby Stafford,Michel Van den Bergh
Publisher : Cambridge University Press
Page : 463 pages
File Size : 51,6 Mb
Release : 2015-11-19
Category : Mathematics
ISBN : 9781107065628

Get Book

Commutative Algebra and Noncommutative Algebraic Geometry by David Eisenbud,Srikanth B. Iyengar,Anurag K. Singh,J. Toby Stafford,Michel Van den Bergh Pdf

This book surveys fundamental current topics in these two areas of research, emphasising the lively interaction between them. Volume 1 contains expository papers ideal for those entering the field.

Automorphic Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro

James W. Cogdell,Freydoon Shahidi,David Soudry
Automorphic Forms and Related Geometry Assessing the Legacy of I I Piatetski Shapiro Book PDF

Author : James W. Cogdell,Freydoon Shahidi,David Soudry
Publisher : American Mathematical Soc.
Page : 454 pages
File Size : 47,9 Mb
Release : 2014-04-01
Category : Mathematics
ISBN : 9780821893944

Get Book

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.

Expository Lectures on Representation Theory

Kiyoshi Igusa, Alex Martsinkovsky, Gordana Todorov
Expository Lectures on Representation Theory Book PDF

Author : Kiyoshi Igusa, Alex Martsinkovsky, Gordana Todorov
Publisher : American Mathematical Soc.
Page : 236 pages
File Size : 41,7 Mb
Release : 2014-01-16
Category : Mathematics
ISBN : 9780821891407

Get Book

Expository Lectures on Representation Theory by Kiyoshi Igusa, Alex Martsinkovsky, Gordana Todorov Pdf

This volume contains the proceedings of the Maurice Auslander Distinguished Lectures and International Conference, held April 25-30, 2012, in Falmouth, MA. The representation theory of finite dimensional algebras and related topics, especially cluster combinatorics, is a very active topic of research. This volume contains papers covering both the history and the latest developments in this topic. In particular, Otto Kerner gives a review of basic theorems and latest results about wild hereditary algebras, Yuri Berest develops the theory of derived representation schemes, and Markus Schmidmeier presents new applications of arc diagrams.

Ring Theory and Its Applications

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

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 : 45,9 Mb
Release : 2014-02-21
Category : Mathematics
ISBN : 9780821887974

Get Book

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.

Noncommutative Algebraic Geometry

Gwyn Bellamy,Daniel Rogalski,Travis Schedler,J. Toby Stafford,Michael Wemyss
Noncommutative Algebraic Geometry Book PDF

Author : Gwyn Bellamy,Daniel Rogalski,Travis Schedler,J. Toby Stafford,Michael Wemyss
Publisher : Cambridge University Press
Page : 367 pages
File Size : 47,9 Mb
Release : 2016-06-20
Category : Mathematics
ISBN : 9781107129542

Get Book

Noncommutative Algebraic Geometry by Gwyn Bellamy,Daniel Rogalski,Travis Schedler,J. Toby Stafford,Michael Wemyss Pdf

This book provides a comprehensive introduction to the interactions between noncommutative algebra and classical algebraic geometry.

Harmonic Analysis and Partial Differential Equations

Patricio Cifuentes,José García-Cuerva,Gustavo Garrigós, Eugenio Hernández,José María Martell,Javier Parcet,Keith M. Rogers,Alberto Ruiz,Fernando Soria,Ana Vargas
Harmonic Analysis and Partial Differential Equations Book PDF

Author : Patricio Cifuentes,José García-Cuerva,Gustavo Garrigós, Eugenio Hernández,José María Martell,Javier Parcet,Keith M. Rogers,Alberto Ruiz,Fernando Soria,Ana Vargas
Publisher : American Mathematical Soc.
Page : 190 pages
File Size : 40,5 Mb
Release : 2013-12-06
Category : Mathematics
ISBN : 9780821894330

Get Book

Harmonic Analysis and Partial Differential Equations by Patricio Cifuentes,José García-Cuerva,Gustavo Garrigós, Eugenio Hernández,José María Martell,Javier Parcet,Keith M. Rogers,Alberto Ruiz,Fernando Soria,Ana Vargas Pdf

This volume contains the Proceedings of the 9th International Conference on Harmonic Analysis and Partial Differential Equations, held June 11-15, 2012, in El Escorial, Madrid, Spain. Included in this volume is the written version of the mini-course given by Jonathan Bennett on Aspects of Multilinear Harmonic Analysis Related to Transversality. Also included, among other papers, is a paper by Emmanouil Milakis, Jill Pipher, and Tatiana Toro, which reflects and extends the ideas presented in the mini-course on Analysis on Non-smooth Domains delivered at the conference by Tatiana Toro. The topics of the contributed lectures cover a wide range of the field of Harmonic Analysis and Partial Differential Equations and illustrate the fruitful interplay between the two subfields.

An Invitation to Noncommutative Geometry

Masoud Khalkhali,Matilde Marcolli
An Invitation to Noncommutative Geometry Book PDF

Author : Masoud Khalkhali,Matilde Marcolli
Publisher : World Scientific
Page : 515 pages
File Size : 42,8 Mb
Release : 2008
Category : Mathematics
ISBN : 9789812706164

Get Book

An Invitation to Noncommutative Geometry by Masoud Khalkhali,Matilde Marcolli Pdf

This is the first existing volume that collects lectures on this important and fast developing subject in mathematics. The lectures are given by leading experts in the field and the range of topics is kept as broad as possible by including both the algebraic and the differential aspects of noncommutative geometry as well as recent applications to theoretical physics and number theory.

Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II

David Carfi,Michel L. Lapidus,Erin P. J. Pearse,Machiel van Frankenhuijsen
Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II Book PDF

Author : David Carfi,Michel L. Lapidus,Erin P. J. Pearse,Machiel van Frankenhuijsen
Publisher : American Mathematical Soc.
Page : 384 pages
File Size : 53,6 Mb
Release : 2013-10-24
Category : Mathematics
ISBN : 9780821891483

Get Book

Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II by David Carfi,Michel L. Lapidus,Erin P. J. Pearse,Machiel van Frankenhuijsen Pdf

This volume contains the proceedings from three conferences: the PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics, held November 8-12, 2011 in Messina, Italy; the AMS Special Session on Fractal Geometry in Pure and Applied Mathematics, in memory of Benoît Mandelbrot, held January 4-7, 2012, in Boston, MA; and the AMS Special Session on Geometry and Analysis on Fractal Spaces, held March 3-4, 2012, in Honolulu, HI. Articles in this volume cover fractal geometry and various aspects of dynamical systems in applied mathematics and the applications to other sciences. Also included are articles discussing a variety of connections between these subjects and various areas of physics, engineering, computer science, technology, economics and finance, as well as of mathematics (including probability theory in relation with statistical physics and heat kernel estimates, geometric measure theory, partial differential equations in relation with condensed matter physics, global analysis on non-smooth spaces, the theory of billiards, harmonic analysis and spectral geometry). The companion volume (Contemporary Mathematics, Volume 600) focuses on the more mathematical aspects of fractal geometry and dynamical systems.

Geometric Analysis and Integral Geometry

Eric Todd Quinto,Fulton Gonzalez,Jens Gerlach Christensen
Geometric Analysis and Integral Geometry Book PDF

Author : Eric Todd Quinto,Fulton Gonzalez,Jens Gerlach Christensen
Publisher : American Mathematical Soc.
Page : 299 pages
File Size : 52,5 Mb
Release : 2013
Category : Mathematics
ISBN : 9780821887387

Get Book

Geometric Analysis and Integral Geometry by Eric Todd Quinto,Fulton Gonzalez,Jens Gerlach Christensen Pdf

Provides an historical overview of several decades in integral geometry and geometric analysis as well as recent advances in these fields and closely related areas. It contains several articles focusing on the mathematical work of Sigurdur Helgason, including an overview of his research by Gestur Olafsson and Robert Stanton.