Nonstandard Poincare and Heisenberg Algebras

Abstract

New deformations of the Poincare 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 $Fun(S{L}_h(2))$ and its dual. A nonstandard quantization of the Heisenberg algebra $U(h(1))$ is also investigated.

latex file, 8 pages, proposition 4 modified, one reference added

References in corpus (2)

• h-deformation of GL(1|1)
• The universal R-matrix for the Jordanian deformation of sl(2), and the contracted forms of so(4)

Cited by in corpus (1)

• Duality for the Jordanian Matrix Quantum Group $G{L}_{g,h}(2)$