Author : Martin W. Liebeck
Publisher : American Mathematical Society
Page : 282 pages
File Size : 35,14 MB
Release : 2024-03-18
Category : Mathematics
ISBN : 1470469057
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Author : Jens Carsten Jantzen
Publisher : American Mathematical Soc.
Page : 594 pages
File Size : 34,19 MB
Release : 2003
Category : Mathematics
ISBN : 082184377X
Gives an introduction to the general theory of representations of algebraic group schemes. This title deals with representation theory of reductive algebraic groups and includes topics such as the description of simple modules, vanishing theorems, Borel-Bott-Weil theorem and Weyl's character formula, and Schubert schemes and lne bundles on them.
Author : Martin W. Liebeck
Publisher :
Page : 0 pages
File Size : 33,60 MB
Release : 2024
Category : Representations of groups
ISBN : 9781470477547
Author : J. S. Milne
Publisher : Cambridge University Press
Page : 665 pages
File Size : 29,11 MB
Release : 2017-09-21
Category : Mathematics
ISBN : 1107167485
Comprehensive introduction to the theory of algebraic group schemes over fields, based on modern algebraic geometry, with few prerequisites.
Author : Pavel I. Etingof
Publisher : American Mathematical Soc.
Page : 240 pages
File Size : 12,38 MB
Release : 2011
Category : Mathematics
ISBN : 0821853511
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 : Fabien Trihan
Publisher : American Mathematical Society
Page : 228 pages
File Size : 14,2 MB
Release : 2024-08-19
Category : Mathematics
ISBN : 1470469693
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Author : Paul Apisa
Publisher : American Mathematical Society
Page : 154 pages
File Size : 26,9 MB
Release : 2024-07-25
Category : Mathematics
ISBN : 1470469111
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Author : Stephen Theriault
Publisher : American Mathematical Society
Page : 114 pages
File Size : 21,68 MB
Release : 2024-08-19
Category : Mathematics
ISBN : 1470470985
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Author : Alan Huckleberry
Publisher : Springer Science & Business Media
Page : 422 pages
File Size : 50,38 MB
Release : 2013-08-04
Category : Mathematics
ISBN : 1461471931
Lie Groups: Structures, Actions, and Representations, In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday consists of invited expository and research articles on new developments arising from Wolf's profound contributions to mathematics. Due to Professor Wolf’s broad interests, outstanding mathematicians and scholars in a wide spectrum of mathematical fields contributed to the volume. Algebraic, geometric, and analytic methods are employed. More precisely, finite groups and classical finite dimensional, as well as infinite-dimensional Lie groups, and algebras play a role. Actions on classical symmetric spaces, and on abstract homogeneous and representation spaces are discussed. Contributions in the area of representation theory involve numerous viewpoints, including that of algebraic groups and various analytic aspects of harmonic analysis. Contributors D. Akhiezer T. Oshima A. Andrada I. Pacharoni M. L. Barberis F. Ricci L. Barchini S. Rosenberg I. Dotti N. Shimeno M. Eastwood J. Tirao V. Fischer S. Treneer T. Kobayashi C.T.C. Wall A. Korányi D. Wallace B. Kostant K. Wiboonton P. Kostelec F. Xu K.-H. Neeb O. Yakimova G. Olafsson R. Zierau B. Ørsted
Author : Brandon Doherty
Publisher : American Mathematical Society
Page : 122 pages
File Size : 13,73 MB
Release : 2024-06-07
Category : Mathematics
ISBN : 1470468948
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