Quantum bounded symmetric domains
by Vaksman, L. L., (Leonid Lʹvovych)
This book provides exposition of the basic theory of quantum bounded symmetric domains. The area became active in the late 1990s at a junction of noncommutative complex analysis and extensively developing theory of quantum groups. It is well known that the classical bounded symmetric domains involve a large number of nice constructions and results of the theory of C*-algebras, theory of functions and functional analysis, representation theory of real reductive Lie groups, harmonic analysis, and…
Read More ↓Title Statements
- Full title :Quantum bounded symmetric domains / Leonid L. Vaksman ; translated by Olga Bershtein and Sergey D. Sinel'shchikov.
Summary
This book provides exposition of the basic theory of quantum bounded symmetric domains. The area became active in the late 1990s at a junction of noncommutative complex analysis and extensively developing theory of quantum groups. It is well known that the classical bounded symmetric domains involve a large number of nice constructions and results of the theory of C*-algebras, theory of functions and functional analysis, representation theory of real reductive Lie groups, harmonic analysis, and special functions. In a surprising advance of the theory of quantum bounded symmetric domains, it turned out that many classical problems admit elegant quantum analogs. Some of those are expounded in the book. Anyone with an interest in the subject will welcome this unique treatment of quantum groups. Table of Contents: Quantum disc; Basic quantum theory of bounded symmetric domains; Conclusion; Bibliography; Index. About the book: The book is written by a leading expert in a very clear, careful, and stimulating way. I strongly recommend it to graduate students and research mathematicians interested in noncommutative geometry, quantum groups, C*-algebras, or operator theory.
Read More ↓Edition Statements
- Publication Date:©2010.
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, R.I
- Language:eng
- Publication Date:©2010.
The Physical Object
- Description:xi, 256 pages : : illustrations ; : 27 cm
Edition Identifiers
- ISBN:9780821849095, 0821849093
- oclc:ocn606051453
- LC Classification:QC20.7.F84
- Dewey Decimal:512/.55
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