Expository Lectures On Representation Theory

Author : Kiyoshi Igusa
Publisher : American Mathematical Soc.
ISBN 13 : 0821891405
Total Pages : 236 pages
Book Rating : 4.07/5 ( download)

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Download or read book Expository Lectures on Representation Theory written by Kiyoshi Igusa and published by American Mathematical Soc.. This book was released on 2014-01-16 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Jing-Song Huang
Publisher : World Scientific
ISBN 13 : 9789810237257
Total Pages : 206 pages
Book Rating : 4.51/5 ( download)

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Download or read book Lectures on Representation Theory written by Jing-Song Huang and published by World Scientific. This book was released on 1999 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an expanded version of the lectures given at the Nankai Mathematical Summer School in 1997. It provides an introduction to Lie groups, Lie algebras and their representations as well as introduces some directions of current research for graduate students who have little specialized knowledge in representation theory. It only assumes that the reader has a good knowledge of linear algebra and some basic knowledge of abstract algebra.Parts I-III of the book cover the relatively elementary material of representation theory of finite groups, simple Lie algebras and compact Lie groups. These theories are natural continuation of linear algebra. The last chapter of Part III includes some recent results on extension of Weyl's construction to exceptional groups. Part IV covers some advanced material on infinite-dimensional representations of non-compact groups such as the orbit method, minimal representations and dual pair correspondences, which introduces some directions of the current research in representation theory.

Author : Kiyoshi Igusa
Publisher :
ISBN 13 : 9781470414412
Total Pages : 224 pages
Book Rating : 4.14/5 ( download)

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Download or read book Expository Lectures on Representation Theory written by Kiyoshi Igusa and published by . This book was released on 2014 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Pavel Etingof
Publisher : American Mathematical Soc.
ISBN 13 : 0821891707
Total Pages : 384 pages
Book Rating : 4.04/5 ( download)

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Download or read book Perspectives in Representation Theory written by Pavel Etingof and published by American Mathematical Soc.. This book was released on 2014-03-11 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Jon F. Carlson
Publisher : Springer
ISBN 13 : 3319940333
Total Pages : 493 pages
Book Rating : 4.35/5 ( download)

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Download or read book Geometric and Topological Aspects of the Representation Theory of Finite Groups written by Jon F. Carlson and published by Springer. This book was released on 2018-10-04 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings comprise two workshops celebrating the accomplishments of David J. Benson on the occasion of his sixtieth birthday. The papers presented at the meetings were representative of the many mathematical subjects he has worked on, with an emphasis on group prepresentations and cohomology. The first workshop was titled "Groups, Representations, and Cohomology" and held from June 22 to June 27, 2015 at Sabhal Mòr Ostaig on the Isle of Skye, Scotland. The second was a combination of a summer school and workshop on the subject of "Geometric Methods in the Representation Theory of Finite Groups" and took place at the Pacific Institute for the Mathematical Sciences at the University of British Columbia in Vancouver from July 27 to August 5, 2016. The contents of the volume include a composite of both summer school material and workshop-derived survey articles on geometric and topological aspects of the representation theory of finite groups. The mission of the annually sponsored Summer Schools is to train and draw new students, and help Ph.D students transition to independent research.

Author : Alex Martsinkovsky
Publisher : American Mathematical Soc.
ISBN 13 : 1470419556
Total Pages : 249 pages
Book Rating : 4.54/5 ( download)

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Download or read book Recent Developments in Representation Theory written by Alex Martsinkovsky and published by American Mathematical Soc.. This book was released on 2016-08-26 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains selected expository lectures delivered at the Maurice Auslander Distinguished Lectures and International Conference, held May 1–6, 2014, at the Woods Hole Oceanographic Institute, Woods Hole, MA. Several significant developments of the last decade in representation theory of finite-dimensional algebras are related to combinatorics. Three of the five lectures in this volume deal, respectively, with the Catalan combinatorics, the combinatorics of Gelfand-Zetlin polytopes, and the combinatorics of tilting modules. The remaining papers present history and recent advances in the study of left orders in left Artinian rings and a survey on invariant theory of Artin-Schelter regular algebras.

Author : Pavel I. Etingof
Publisher : American Mathematical Soc.
ISBN 13 : 0821853511
Total Pages : 240 pages
Book Rating : 4.11/5 ( download)

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Download or read book Introduction to Representation Theory written by Pavel I. Etingof and published by American Mathematical Soc.. This book was released on 2011 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a ``holistic'' introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints. The book is designed as a textbook for advanced undergraduate and beginning graduate students. It should be accessible to students with a strong background in linear algebra and a basic knowledge of abstract algebra.

Author : Graham J. Leuschke
Publisher : American Mathematical Soc.
ISBN 13 : 1470435764
Total Pages : 296 pages
Book Rating : 4.69/5 ( download)

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Download or read book Representations of Algebras written by Graham J. Leuschke and published by American Mathematical Soc.. This book was released on 2018 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 17th Workshop and International Conference on Representations of Algebras (ICRA 2016), held from August 10-19, 2016, at Syracuse University, Syracuse, NY. Included are three survey articles based on short courses in the areas of commutative algebraic groups, modular group representation theory, and thick tensor ideals of bounded derived categories. Other articles represent contributions to areas in and related to representation theory, such as noncommutative resolutions, twisted commutative algebras, and upper cluster algebras.

Author : Eric M. Friedlander
Publisher : American Mathematical Soc.
ISBN 13 : 0821851659
Total Pages : 330 pages
Book Rating : 4.54/5 ( download)

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Download or read book Topology and Representation Theory written by Eric M. Friedlander and published by American Mathematical Soc.. This book was released on 1994 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: During 1991-1992, Northwestern University conducted a special emphasis year on the topic, "The connections between topology and representation theory." Activities over the year culminated in a conference in May 1992 which attracted over 120 participants. Most of the plenary lectures at the conference were expository and designed to introduce current trends to graduate students and nonspecialists familiar with algebraic topology. This volume contains refereed papers presented or solicited at the conference; one paper is based on a seminar given during the emphasis year.

Author : Alex Martsinkovsky
Publisher : American Mathematical Soc.
ISBN 13 : 1470436795
Total Pages : 203 pages
Book Rating : 4.97/5 ( download)

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Download or read book Surveys in Representation Theory of Algebras written by Alex Martsinkovsky and published by American Mathematical Soc.. This book was released on 2018-09-12 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains selected expository lectures delivered at the annual Maurice Auslander Distinguished Lectures and International Conference over the last several years. Reflecting the diverse landscape of modern representation theory of algebras, the selected articles include: a quick introduction to silting modules; a survey on the first decade of co-t-structures in triangulated categories; a functorial approach to the notion of module; a representation-theoretic approach to recollements in abelian categories; new examples of applications of relative homological algebra; connections between Coxeter groups and quiver representations; and recent progress on limits of approximation theory.