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Complex Semisimple Quantum Groups and Representation Theory

By Christian Voigt

Product Image: Complex Semisimple Quantum Groups and Representation Theory

Complex Semisimple Quantum Groups and Representation Theory

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Description
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 representationtheory 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.
Product details
Binding:
Paperback
Edition:
1
Number of Pages:
388
Release Date:
2020-09-25
Publication Date:
2020-09-25
Publisher:
Springer
Languages:
Original: English
ISBN10:
3030524620
ISBN13:
9783030524623
GPSR Manufacturer Reference:
[email protected]
Weight:
587 g
Height:
155 cm
Width:
235 cm
Thickness:
21 cm
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