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:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Sponsoring Organization:
- Physics Division
- DOE Contract Number:
- DE-AC02-05CH11231
- OSTI ID:
- 982437
- Report Number(s):
- LBNL-39775; TRN: US201014%%359
- Journal Information:
- Nuclear Physics B - Proceedings Supplements, Vol. 56, Issue 3; Related Information: Journal Publication Date: 07/1997; ISSN 0920-5632
- Country of Publication:
- United States
- Language:
- English
Similar Records
Quantum groups, non-commutative differential geometry and applications
An introduction to non-commutative differential geometry on quantum groups
On the geometry of inhomogeneous quantum groups
Thesis/Dissertation
·
Thu Dec 09 00:00:00 EST 1993
·
OSTI ID:982437
An introduction to non-commutative differential geometry on quantum groups
Journal Article
·
Tue Apr 20 00:00:00 EDT 1993
· International Journal of Modern Physics A; (United States)
·
OSTI ID:982437
On the geometry of inhomogeneous quantum groups
Thesis/Dissertation
·
Thu Jan 01 00:00:00 EST 1998
·
OSTI ID:982437