Annihilating Ideals of Standard Modules of Sl(2,C) Superscript ~ and Combinatorial Identities
Title | Annihilating Ideals of Standard Modules of Sl(2,C) Superscript ~ and Combinatorial Identities PDF eBook |
Author | Mathematical Sciences Research Institute (Berkeley, Calif.). |
Publisher | |
Pages | |
Release | 1985 |
Genre | |
ISBN |
Annihilating Ideals of Standard Modules of Sl(2,C)*4 and Combinatorial Identities
Title | Annihilating Ideals of Standard Modules of Sl(2,C)*4 and Combinatorial Identities PDF eBook |
Author | Arne Meurman |
Publisher | |
Pages | 83 |
Release | 1985 |
Genre | |
ISBN |
Annihilating ideals of standard modules of s (2,C) and combinatorial identities
Title | Annihilating ideals of standard modules of s (2,C) and combinatorial identities PDF eBook |
Author | A. Meurman |
Publisher | |
Pages | 166 |
Release | 1985 |
Genre | |
ISBN |
Annihilating Ideals of Standard Modules of S(2,C) and Combinatorial Indentities
Title | Annihilating Ideals of Standard Modules of S(2,C) and Combinatorial Indentities PDF eBook |
Author | A. Meurman |
Publisher | |
Pages | 83 |
Release | 1985 |
Genre | |
ISBN |
Expansion in Finite Simple Groups of Lie Type
Title | Expansion in Finite Simple Groups of Lie Type PDF eBook |
Author | Terence Tao |
Publisher | American Mathematical Soc. |
Pages | 319 |
Release | 2015-04-16 |
Genre | Mathematics |
ISBN | 1470421968 |
Expander graphs are an important tool in theoretical computer science, geometric group theory, probability, and number theory. Furthermore, the techniques used to rigorously establish the expansion property of a graph draw from such diverse areas of mathematics as representation theory, algebraic geometry, and arithmetic combinatorics. This text focuses on the latter topic in the important case of Cayley graphs on finite groups of Lie type, developing tools such as Kazhdan's property (T), quasirandomness, product estimates, escape from subvarieties, and the Balog-Szemerédi-Gowers lemma. Applications to the affine sieve of Bourgain, Gamburd, and Sarnak are also given. The material is largely self-contained, with additional sections on the general theory of expanders, spectral theory, Lie theory, and the Lang-Weil bound, as well as numerous exercises and other optional material.
Representation Theory
Title | Representation Theory PDF eBook |
Author | William Fulton |
Publisher | Springer Science & Business Media |
Pages | 616 |
Release | 1991 |
Genre | Mathematics |
ISBN | 9780387974958 |
Introducing finite-dimensional representations of Lie groups and Lie algebras, this example-oriented book works from representation theory of finite groups, through Lie groups and Lie algrbras to the finite dimensional representations of the classical groups.
Dirac Operators in Representation Theory
Title | Dirac Operators in Representation Theory PDF eBook |
Author | Jing-Song Huang |
Publisher | Springer Science & Business Media |
Pages | 205 |
Release | 2007-05-27 |
Genre | Mathematics |
ISBN | 0817644938 |
This book presents a comprehensive treatment of important new ideas on Dirac operators and Dirac cohomology. Using Dirac operators as a unifying theme, the authors demonstrate how some of the most important results in representation theory fit together when viewed from this perspective. The book is an excellent contribution to the mathematical literature of representation theory, and this self-contained exposition offers a systematic examination and panoramic view of the subject. The material will be of interest to researchers and graduate students in representation theory, differential geometry, and physics.