Algebras of Functions on Quantum Groups: Part I
About this Title
Leonid I. Korogodski, Institute for Advanced Study, Princeton, NJ and Yan S. Soibelman, Institute for Advanced Study, Princeton, NJ
Publication: Mathematical Surveys and Monographs
Publication Year:
1998; Volume 56
ISBNs: 978-0-8218-0336-3 (print); 978-1-4704-1284-5 (online)
DOI: https://doi.org/http://dx.doi.org/10.1090/surv/056
MathSciNet review: MR1614943
MSC: Primary 17B37; Secondary 16W30, 58F05, 81R50
Read more about this volume
The book is devoted to the study of algebras of functions on quantum
groups. The authors' approach to the subject is based on the parallels with
symplectic geometry, allowing the reader to use geometric intuition in the
theory of quantum groups. The book includes the theory of Poisson Lie groups
(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. This book can serve as a text for an introduction to the
theory of quantum groups.
Readership
Graduate students and research mathematicians working in
algebra, representation theory, and mathematical physics.
Table of Contents
Front/Back Matter
Chapters
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