Complex Semisimple Quantum Groups and Representation Theory (Lecture Notes in Mathematics, Band 2264)

Name: Complex Semisimple Quantum Groups and Representation Theory (Lecture Notes in Mathematics, Band 2264)
Brand: Springer
Availability: OutOfStock
Rating: 5 (1 reviews)

By Christian Voigt

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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:

Published: English, Original: English

ISBN10:

3030524620

GPSR Manufacturer Reference:

[email protected]

Weight:

522 g

Height:

23.4 cm

Width:

15.4 cm

Thickness:

2.2 cm

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