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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v němčině Naturwissenschaften, Medizin, Informatik, Technik Mathematik Geometrie

• Plný název: Complex Semisimple Quantum Groups and Representation Theory
• Autor: Christian Voigt
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 376
• EAN: 9783030524623
• ISBN: 3030524620
• ID: 33249380
• Nakladatelství: Springer Nature Switzerland AG
• Hmotnost: 593 g
• Rozměry: 235 × 155 × 21 mm
• Datum vydání: 25. September 2020

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