Nonstandard Poincaré and Heisenberg Algebras
Abstract
Nonstandard deformations of the Poincaré group Fun(P(1+1)) and its dual enveloping algebra U (p(1+1)) are obtained as a contraction of the h-deformed (Jordanian) quantum group Fun( SLh(2)) and its dual. A nonstandard quantization of the Heisenberg algebra U(h(1)) is also investigated.
- Publication:
-
Letters in Mathematical Physics
- Pub Date:
- May 1997
- DOI:
- 10.1023/A:1007381725450
- arXiv:
- arXiv:q-alg/9606003
- Bibcode:
- 1997LMaPh..40..293P
- Keywords:
-
- Poincaré algebra;
- Heisenberg algebra;
- Hopf algebra;
- Jordanian deformation.;
- Mathematics - Quantum Algebra
- E-Print:
- latex file, 8 pages, proposition 4 modified, one reference added