Complex semisimple quantum groups and representation theory / / Christian Voigt, Robert Yuncken

• Autore: Voigt Christian
• Pubblicazione: Cham, Switzerland : , : Springer, , [2020]; ©2020
• Edizione: 1st ed. 2020.
• Descrizione fisica: 1 online resource (X, 376 p. 25 illus.)
• Disciplina: 512.2
• Soggetto topico: Group theory
• Persona (resp. second.): YunckenRobert
• Sommario/riassunto: 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.
• Titolo autorizzato: Complex semisimple quantum groups and representation theory
• ISBN: 3-030-52463-9
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996418259003316
• Lo trovi qui: Univ. di Salerno
• Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 2264