Representation Theory of Algebraic Groups and Quantum Groups
Title | Representation Theory of Algebraic Groups and Quantum Groups PDF eBook |
Author | Toshiaki Shoji |
Publisher | American Mathematical Society(RI) |
Total Pages | 514 |
Release | 2004 |
Genre | Computers |
ISBN |
A collection of research and survey papers written by speakers at the Mathematical Society of Japan's 10th International Conference. This title presents an overview of developments in representation theory of algebraic groups and quantum groups. It includes papers containing results concerning Lusztig's conjecture on cells in affine Weyl groups.
Representation Theory of Algebraic Groups and Quantum Groups
Title | Representation Theory of Algebraic Groups and Quantum Groups PDF eBook |
Author | Akihiko Gyoja |
Publisher | |
Total Pages | 364 |
Release | 2011-03-30 |
Genre | |
ISBN | 9780817672188 |
Representations of Algebraic Groups
Title | Representations of Algebraic Groups PDF eBook |
Author | Jens Carsten Jantzen |
Publisher | American Mathematical Soc. |
Total Pages | 594 |
Release | 2003 |
Genre | 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.
Lectures on Algebraic Quantum Groups
Title | Lectures on Algebraic Quantum Groups PDF eBook |
Author | Ken Brown |
Publisher | Birkhäuser |
Total Pages | 339 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 303488205X |
This book consists of an expanded set of lectures on algebraic aspects of quantum groups. It particularly concentrates on quantized coordinate rings of algebraic groups and spaces and on quantized enveloping algebras of semisimple Lie algebras. Large parts of the material are developed in full textbook style, featuring many examples and numerous exercises; other portions are discussed with sketches of proofs, while still other material is quoted without proof.
Representations of Algebraic Groups, Quantum Groups, and Lie Algebras
Title | Representations of Algebraic Groups, Quantum Groups, and Lie Algebras PDF eBook |
Author | Georgia Benkart |
Publisher | American Mathematical Soc. |
Total Pages | 270 |
Release | 2006 |
Genre | Mathematics |
ISBN | 0821839241 |
Covers various aspects of the representation theory of Lie algebras, finite groups of Lie types, Hecke algebras, and Lie super algebras. This book outlines connections among irreducible representations of certain blocks of reduced enveloping algebras of semi-simple Lie algebras in positive characteristic.
Algebraic and Analytic Methods in Representation Theory
Title | Algebraic and Analytic Methods in Representation Theory PDF eBook |
Author | |
Publisher | Elsevier |
Total Pages | 343 |
Release | 1996-09-27 |
Genre | Mathematics |
ISBN | 0080526950 |
This book is a compilation of several works from well-recognized figures in the field of Representation Theory. The presentation of the topic is unique in offering several different points of view, which should makethe book very useful to students and experts alike. Presents several different points of view on key topics in representation theory, from internationally known experts in the field
Quantum Groups and Their Representations
Title | Quantum Groups and Their Representations PDF eBook |
Author | Anatoli Klimyk |
Publisher | Springer Science & Business Media |
Total Pages | 568 |
Release | 2012-12-06 |
Genre | Science |
ISBN | 3642608965 |
This book start with an introduction to quantum groups for the beginner and continues as a textbook for graduate students in physics and in mathematics. It can also be used as a reference by more advanced readers. The authors cover a large but well-chosen variety of subjects from the theory of quantum groups (quantized universal enveloping algebras, quantized algebras of functions) and q-deformed algebras (q-oscillator algebras), their representations and corepresentations, and noncommutative differential calculus. The book is written with potential applications in physics and mathematics in mind. The basic quantum groups and quantum algebras and their representations are given in detail and accompanied by explicit formulas. A number of topics and results from the more advanced general theory are developed and discussed.