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Complex Semisimple Quantum Groups and Representation Theory

Christian Voigt

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Paperback / softback
25 September 2020
$98.00
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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.

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$98.00
Ships in 3-5 business days
Hurry up! Current stock:

Complex Semisimple Quantum Groups and Representation Theory

$98.00

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 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.

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