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Nonstandard Poincaré and Heisenberg Algebras

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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( SL h (2)) and its dual. A nonstandard quantization of the Heisenberg algebra U(h(1)) is also investigated.

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  1. PREETI Parashar
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Parashar, P. Nonstandard Poincaré and Heisenberg Algebras. Letters in Mathematical Physics 40, 293–298 (1997). https://doi.org/10.1023/A:1007381725450

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