D Modules Representation Theory And Quantum Groups PDF Download
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Author | : Louis Boutet de Monvel |
Publisher | : Springer |
Total Pages | : 226 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540481958 |
Download D-modules, Representation Theory, and Quantum Groups Book in PDF, ePub and Kindle
CONTENTS: L. Boutet de Monvel: Indice de systemes differentiels.- C. De Concini, C. Procesi: Quantum groups.- P. Schapira, J.P. Schneiders: Index theorems for R-constructible sheaves and for D-modules.- N. Berline, M. Vergne: The equivariant Chern character and index of G-invariant operators.
Author | : |
Publisher | : |
Total Pages | : 217 |
Release | : 1993 |
Genre | : |
ISBN | : |
Download D-modules, Representation Theory, and Quantum Groups Book in PDF, ePub and Kindle
Author | : Christian Voigt |
Publisher | : Springer Nature |
Total Pages | : 382 |
Release | : 2020-09-24 |
Genre | : Mathematics |
ISBN | : 3030524639 |
Download Complex Semisimple Quantum Groups and Representation Theory Book in PDF, ePub and Kindle
This book provides a thorough introduction to the theory of complex semisimple quantum groups, that is, Drinfeld doubles of q-deformations of compact semisimple Lie groups. The presentation is comprehensive, beginning with background information on Hopf algebras, and ending with the classification of admissible representations of the q-deformation of a complex semisimple Lie group. The main components are: - a thorough introduction to quantized universal enveloping algebras over general base fields and generic deformation parameters, including finite dimensional representation theory, the Poincaré-Birkhoff-Witt Theorem, the locally finite part, and the Harish-Chandra homomorphism, - the analytic theory of quantized complex semisimple Lie groups in terms of quantized algebras of functions and their duals, - algebraic representation theory in terms of category O, and - analytic representation theory of quantized complex semisimple groups. Given its scope, the book will be a valuable resource for both graduate students and researchers in the area of quantum groups.
Author | : Toshiaki Shoji |
Publisher | : American Mathematical Society(RI) |
Total Pages | : 514 |
Release | : 2004 |
Genre | : Computers |
ISBN | : |
Download Representation Theory of Algebraic Groups and Quantum Groups Book in PDF, ePub and Kindle
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.
Author | : Leonid I. Korogodski |
Publisher | : American Mathematical Soc. |
Total Pages | : 162 |
Release | : 1998 |
Genre | : Mathematics |
ISBN | : 0821803360 |
Download Algebras of Functions on Quantum Groups: Part I Book in PDF, ePub and Kindle
The text is devoted to the study of algebras of functions on quantum groups. The book includes the theory of Poisson-Lie algebras (quasi-classical version of algebras of functions on quantum groups), a description of representations of algebras of functions and the theory of quantum Weyl groups. It can serve as a text for an introduction to the theory of quantum groups and is intended for graduate students and research mathematicians working in algebra, representation theory and mathematical physics.
Author | : Akihiko Gyoja |
Publisher | : Springer Science & Business Media |
Total Pages | : 356 |
Release | : 2010-11-25 |
Genre | : Mathematics |
ISBN | : 0817646973 |
Download Representation Theory of Algebraic Groups and Quantum Groups Book in PDF, ePub and Kindle
Invited articles by top notch experts Focus is on topics in representation theory of algebraic groups and quantum groups Of interest to graduate students and researchers in representation theory, group theory, algebraic geometry, quantum theory and math physics
Author | : Andrew Pressley |
Publisher | : Cambridge University Press |
Total Pages | : 246 |
Release | : 2002-01-17 |
Genre | : Mathematics |
ISBN | : 9781139437028 |
Download Quantum Groups and Lie Theory Book in PDF, ePub and Kindle
This book comprises an overview of the material presented at the 1999 Durham Symposium on Quantum Groups and includes contributions from many of the world's leading figures in this area. It will be of interest to researchers and will also be useful as a reference text for graduate courses.
Author | : Brian Parshall |
Publisher | : American Mathematical Soc. |
Total Pages | : 168 |
Release | : 1991 |
Genre | : Mathematics |
ISBN | : 0821825011 |
Download Quantum Linear Groups Book in PDF, ePub and Kindle
We consider the theory of quantum groups as a natural abstraction of the theory of affine group schemes. After establishing the foundational results as the theory of induced representations, rational cohomology, and the Hochschild-Serre spectral sequence, we take up a detailed investigation of the quantum linear group [italic]GL[italic subscript]q([italic]n). In particular, we develop the global and infinitesimal representation theory of [italic]GL[italic subscript]q([italic]n) and its subgroups.
Author | : Bangming Deng |
Publisher | : American Mathematical Soc. |
Total Pages | : 790 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : 0821841866 |
Download Finite Dimensional Algebras and Quantum Groups Book in PDF, ePub and Kindle
"The interplay between finite dimensional algebras and Lie theory dates back many years. In more recent times, these interrelations have become even more strikingly apparent. This text combines, for the first time in book form, the theories of finite dimensional algebras and quantum groups. More precisely, it investigates the Ringel-Hall algebra realization for the positive part of a quantum enveloping algebra associated with a symmetrizable Cartan matrix and it looks closely at the Beilinson-Lusztig-MacPherson realization for the entire quantum $\mathfrak{gl}_n$. The book begins with the two realizations of generalized Cartan matrices, namely, the graph realization and the root datum realization. From there, it develops the representation theory of quivers with automorphisms and the theory of quantum enveloping algebras associated with Kac-Moody Lie algebras. These two independent theories eventually meet in Part 4, under the umbrella of Ringel-Hall algebras. Cartan matrices can also be used to define an important class of groups--Coxeter groups--and their associated Hecke algebras. Hecke algebras associated with symmetric groups give rise to an interesting class of quasi-hereditary algebras, the quantum Schur algebras. The structure of these finite dimensional algebras is used in Part 5 to build the entire quantum $\mathfrak{gl}_n$ through a completion process of a limit algebra (the Beilinson-Lusztig-MacPherson algebra). The book is suitable for advanced graduate students. Each chapter concludes with a series of exercises, ranging from the routine to sketches of proofs of recent results from the current literature."--Publisher's website.
Author | : A. Broer |
Publisher | : Springer Science & Business Media |
Total Pages | : 455 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 9401591318 |
Download Representation Theories and Algebraic Geometry Book in PDF, ePub and Kindle
The 12 lectures presented in Representation Theories and Algebraic Geometry focus on the very rich and powerful interplay between algebraic geometry and the representation theories of various modern mathematical structures, such as reductive groups, quantum groups, Hecke algebras, restricted Lie algebras, and their companions. This interplay has been extensively exploited during recent years, resulting in great progress in these representation theories. Conversely, a great stimulus has been given to the development of such geometric theories as D-modules, perverse sheafs and equivariant intersection cohomology. The range of topics covered is wide, from equivariant Chow groups, decomposition classes and Schubert varieties, multiplicity free actions, convolution algebras, standard monomial theory, and canonical bases, to annihilators of quantum Verma modules, modular representation theory of Lie algebras and combinatorics of representation categories of Harish-Chandra modules.