On the Geometry of the Quantum Poincare Group
Journal Article
·
· Nuclear Physics B - Proceedings Supplements
We review the construction of the multiparametric inhomogeneousorthogonal quantum group ISO{sub q,r}(N) as a projection from SO{sub q,r}(N+2), and recall the conjugation that for N=4 leads to the quantum Poincare group. We study the properties of the universal enveloping algebra U{sub q,r}(iso(N)), and give an R-matrix formlation. A quantum Lie algebra and a bicovariant differential calculus on twisted ISO(N) are found.
- Research Organization:
- Ernest Orlando Lawrence Berkeley National Laboratory, Berkeley, CA (US)
- Sponsoring Organization:
- Physics Division
- DOE Contract Number:
- AC02-05CH11231
- OSTI ID:
- 982437
- Report Number(s):
- LBNL-39775
- Journal Information:
- Nuclear Physics B - Proceedings Supplements, Journal Name: Nuclear Physics B - Proceedings Supplements Journal Issue: 3 Vol. 56; ISSN 0920-5632
- Country of Publication:
- United States
- Language:
- English
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