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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.
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.
Christian Voigt is a Senior Lecturer at the School of Mathematics, University of Glasgow. His main research area is noncommutative geometry, with a focus on quantum groups, operator K-theory, and cyclic homology.
Robert Yuncken is Maître de Conférences at the Laboratoire de Mathématiques Blaise Pascal, Univerité Clermont Auvergne in France. His main research interests are in operator algebras, geometry, and representation theory.
Provides a comprehensive, accessible and self-contained introduction to the theory of quantized universal enveloping algebras and their associated quantized semisimple Lie groups
Presents complete proofs of many results that are otherwise scattered throughout the literature
Offers a unified approach to both the algebraic and the analytic theory of quantum groups using coherent conventions and notations
The first book to address the representation theory of general complex semisimple quantum groups
| Erscheinungsjahr: | 2020 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
x
376 S. 25 s/w Illustr. 376 p. 25 illus. |
| ISBN-13: | 9783030524623 |
| ISBN-10: | 3030524620 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Yuncken, Robert
Voigt, Christian |
| Auflage: | 1st edition 2020 |
| Hersteller: | Springer International Publishing |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 21 mm |
| Von/Mit: | Robert Yuncken (u. a.) |
| Erscheinungsdatum: | 25.09.2020 |
| Gewicht: | 0,587 kg |
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