Voigt, C. and Yuncken, R. (2020) Complex Semisimple Quantum Groups and Representation Theory. Series: Lecture notes in mathematics, 2264. Springer: Cham. ISBN 9783030524623 (doi: 10.1007/978-3-030-52463-0)
Full text not currently available from Enlighten.
Publisher's URL: https://www.springer.com/gp/book/9783030524623
Abstract
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.
| Item Type: | Books |
|---|---|
| Status: | Published |
| Glasgow Author(s) Enlighten ID: | Voigt, Professor Christian |
| Authors: | Voigt, C., and Yuncken, R. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Publisher: | Springer |
| ISBN: | 9783030524623 |
| Published Online: | 25 September 2020 |
University Staff: Request a correction | Enlighten Editors: Update this record
Altmetric
Altmetric