Complex Semisimple Quantum Groups and Representation Theory is popular PDF and ePub book, written by Christian Voigt in 2020-09-24, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Complex Semisimple Quantum Groups and Representation Theory can be Read Online from any device for your convenience.
Complex Semisimple Quantum Groups and Representation Theory Book PDF Summary
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.
Detail Book of Complex Semisimple Quantum Groups and Representation Theory PDF
- Author : Christian Voigt
- Release : 24 September 2020
- Publisher : Springer Nature
- ISBN : 9783030524630
- Genre : Mathematics
- Total Page : 382 pages
- Language : English
- PDF File Size : 19,5 Mb
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