Published January 1990
| Version v1
Journal article
Q-analogues of Clifford and Weyl algebras - spinor and oscillator representations of quantum enveloping algebra
Description
We introduce q-analogues of Clifford and Weyl algebras. Using these, we construct spinor and oscillator representations of quantum enveloping algebras of type AN-1, BN, CN, DN and AN-1(1). Also we discuss the irreducibility and the unitarity of these representations. (orig.)
Additional details
Publishing Information
- Journal Title
- Communications in Mathematical Physics
- Journal Volume
- 127
- Journal Issue
- 1
- Series
- Commun. Math. Phys.
- Journal Page Range
- 129-144
- ISSN
- 0010-3616
- CODEN
- CMPHA
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 21015680
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CLIFFORD ALGEBRA; HARMONIC OSCILLATORS; IRREDUCIBLE REPRESENTATIONS; LIE GROUPS; SPINORS; WEYL UNIFIED THEORY
- Descriptors DEC
- FIELD THEORIES; SYMMETRY GROUPS; UNIFIED-FIELD THEORIES