Published May 1993
| Version v1
Journal article
Poisson-Lie groups. The quantum duality principle and the twisted quantum double
Creators
- 1. St. Petersburg Branch of the V.A. Steklov Mathematics Institute (Russian Federation)
Description
The open-quotes theory of doublesclose quotes and its ramifications is a difficult part of the theory of quantum groups. This paper describes this theory in detail, although the length of the paper did not permit the inclusion of proofs. The quantum duality principle relates the quantum groups that arise on the quantization of Poisson-Lie dual groups and generalizes Fourier duality. Also considered are the theory of the Heisenberg double, which replaces the cotangent bundle for quantum groups, and its deformations (the twisted double). 19 refs
Additional details
Publishing Information
- Journal Title
- Theoretical and Mathematical Physics
- Journal Volume
- 93
- Journal Issue
- 2
- Journal Page Range
- p. 1292-1307.
- ISSN
- 0040-5779
- CODEN
- TMPHAH
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 25004034
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Resource subtype / Literary indicator
- Translation
- Descriptors DEI
- DUALITY; FOURIER TRANSFORMATION; LIE GROUPS; POISSON EQUATION; QUANTIZATION; QUANTUM FIELD THEORY; SEMICLASSICAL APPROXIMATION
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD THEORIES; INTEGRAL TRANSFORMATIONS; PARTIAL DIFFERENTIAL EQUATIONS; SYMMETRY GROUPS; TRANSFORMATIONS
Optional Information
- Notes
- Cover-to-cover Translation of Teoreticheskaia I Matematicheskaia Fizika (USSR); Translated from Teoreticheskaya i Matematicheskaya Fizika; 93: No. 2, 302-329(Nov 1992).