Multiplicity Free Representations Of Algebraic Groups PDF Download
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Author | : Martin W. Liebeck |
Publisher | : American Mathematical Society |
Total Pages | : 282 |
Release | : 2024-03-18 |
Genre | : Mathematics |
ISBN | : 1470469057 |
Download Multiplicity-free Representations of Algebraic Groups Book in PDF, ePub and Kindle
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Author | : Martin W. Liebeck |
Publisher | : |
Total Pages | : 0 |
Release | : 2024 |
Genre | : Representations of groups |
ISBN | : 9781470477547 |
Download Multiplicity-free Representations of Algebraic Groups Book in PDF, ePub and Kindle
Author | : Jens Carsten Jantzen |
Publisher | : American Mathematical Soc. |
Total Pages | : 594 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 082184377X |
Download Representations of Algebraic Groups Book in PDF, ePub and Kindle
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 | : Alexander Lubotzky |
Publisher | : American Mathematical Soc. |
Total Pages | : 134 |
Release | : 1985 |
Genre | : Mathematics |
ISBN | : 082182337X |
Download Varieties of Representations of Finitely Generated Groups Book in PDF, ePub and Kindle
The n-dimensional representations, over an algebraically closed characteristic zero field k, of a finitely generated group are parameterized by an affine algebraic variety over k. The tangent spaces of this variety are subspaces of spaces of one-cocycles and thus the geometry of the variety is locally related to the cohomology of the group. The cohomology is also related to the prounipotent radical of the proalgebraic hull of the group. This paper exploits these two relations to compute dimensions of representation varieties, especially for nilpotent groups and their generalizations. It also presents the foundations of the theory of representation varieties in an expository, self-contained manner.
Author | : Eng-chye Tan |
Publisher | : World Scientific |
Total Pages | : 426 |
Release | : 2004 |
Genre | : Science |
ISBN | : 981238779X |
Download Representations of Real and P-adic Groups Book in PDF, ePub and Kindle
The Institute for Mathematical Sciences at the National University of Singapore hosted a research program on ?Representation Theory of Lie Groups? from July 2002 to January 2003. As part of the program, tutorials for graduate students and junior researchers were given by leading experts in the field.This invaluable volume collects the expanded lecture notes of those tutorials. The topics covered include uncertainty principles for locally compact abelian groups, fundamentals of representations of p-adic groups, the Harish-Chandra-Howe local character expansion, classification of the square-integrable representations modulo cuspidal data, Dirac cohomology and Vogan's conjecture, multiplicity-free actions and Schur-Weyl-Howe duality.The lecturers include Tomasz Przebinda from the University of Oklahoma, USA; Gordan Savin from the University of Utah, USA; Stephen DeBacker from Harvard University, USA; Marko Tadi? from the University of Zagreb, Croatia; Jing-Song Huang from The Hong Kong University of Science and Technology, Hong Kong; Pavle Pand?i? from the University of Zagreb, Croatia; Chal Benson and Gail Ratcliff from East Carolina University, USA; and Roe Goodman from Rutgers University, USA.
Author | : R.W. Carter |
Publisher | : Springer Science & Business Media |
Total Pages | : 396 |
Release | : 1998-08-31 |
Genre | : Mathematics |
ISBN | : 9780792352921 |
Download Algebraic Groups and Their Representations Book in PDF, ePub and Kindle
This volume contains articles by 20 leading workers in the field of algebraic groups and related finite groups. Articles on representation theory are written by Andersen on tilting modules, Carter on canonical bases, Cline, Parshall and Scott on endomorphism algebras, James and Kleshchev on the symmetric group, Littelmann on the path model, Lusztig on homology bases, McNinch on semisimplicity in prime characteristic, Robinson on block theory, Scott on Lusztig's character formula, and Tanisaki on highest weight modules. Articles on subgroup structure are written by Seitz and Brundan on double cosets, Liebeck on exceptional groups, Saxl on subgroups containing special elements, and Guralnick on applications of subgroup structure. Steinberg gives a new, short proof of the isomorphism and isogeny theorems for reductive groups. Aschbacher discusses the classification of quasithin groups and Borovik the classification of groups of finite Morley rank. Audience: The book contains accounts of many recent advances and will interest research workers and students in the theory of algebraic groups and related areas of mathematics.
Author | : Eng-chye Tan |
Publisher | : World Scientific |
Total Pages | : 426 |
Release | : 2004-04-15 |
Genre | : Mathematics |
ISBN | : 9814483087 |
Download Representations Of Real And P-adic Groups Book in PDF, ePub and Kindle
The Institute for Mathematical Sciences at the National University of Singapore hosted a research program on “Representation Theory of Lie Groups” from July 2002 to January 2003. As part of the program, tutorials for graduate students and junior researchers were given by leading experts in the field.This invaluable volume collects the expanded lecture notes of those tutorials. The topics covered include uncertainty principles for locally compact abelian groups, fundamentals of representations of p-adic groups, the Harish-Chandra-Howe local character expansion, classification of the square-integrable representations modulo cuspidal data, Dirac cohomology and Vogan's conjecture, multiplicity-free actions and Schur-Weyl-Howe duality.The lecturers include Tomasz Przebinda from the University of Oklahoma, USA; Gordan Savin from the University of Utah, USA; Stephen DeBacker from Harvard University, USA; Marko Tadić from the University of Zagreb, Croatia; Jing-Song Huang from The Hong Kong University of Science and Technology, Hong Kong; Pavle Pandǽić from the University of Zagreb, Croatia; Chal Benson and Gail Ratcliff from East Carolina University, USA; and Roe Goodman from Rutgers University, USA.
Author | : Meinolf Geck |
Publisher | : EPFL Press |
Total Pages | : 472 |
Release | : 2007-05-07 |
Genre | : Mathematics |
ISBN | : 9780849392436 |
Download Group Representation Theory Book in PDF, ePub and Kindle
After the pioneering work of Brauer in the middle of the 20th century in the area of the representation theory of groups, many entirely new developments have taken place and the field has grown into a very large field of study. This progress, and the remaining open problems (e.g., the conjectures of Alterin, Dade, Broué, James, etc.) have ensured that group representation theory remains a lively area of research. In this book, the leading researchers in the field contribute a chapter in their field of specialty, namely: Broué (Finite reductive groups and spetses); Carlson (Cohomology and representations of finite groups); Geck (Representations of Hecke algebras); Seitz (Topics in algebraic groups); Kessar and Linckelmann (Fusion systems and blocks); Serre (On finite subgroups of Lie groups); Thévenaz (The classification of endo-permutaion modules); and Webb (Representations and cohomology of categories).
Author | : Pavel I. Etingof |
Publisher | : American Mathematical Soc. |
Total Pages | : 240 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 0821853511 |
Download Introduction to Representation Theory Book in PDF, ePub and Kindle
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 | : J. S. Milne |
Publisher | : Cambridge University Press |
Total Pages | : 665 |
Release | : 2017-09-21 |
Genre | : Mathematics |
ISBN | : 1107167485 |
Download Algebraic Groups Book in PDF, ePub and Kindle
Comprehensive introduction to the theory of algebraic group schemes over fields, based on modern algebraic geometry, with few prerequisites.