Deformed and extended Galilei group Hopf algebras

Details Deformed and extended Galilei group Hopf algebras Deformed and extended Galilei group Hopf algebras

1996-02-22

arxiv.org/abs/q-alg/9602032v2

J.Phys.A29:6353-6362,1996

Mathematics

Quantum Algebra

TeX file. 16 pages. Phyzzx.tex is needed. Two sentences added. To appear in J. Phys A

Scientific paper

10.1088/0305-4470/29/19/019

The $\hat\kappa$-deformed extended Galilei Hopf group algebra, ${\rm Fun}_{\hat\kappa}(\tilde G_{(m)})$, is introduced. It provides an example of a cocycle bicrossproduct structure, and is shown to be the contraction limit of a pseudoextension of the $\kappa$-Poincar\'e group algebra. The possibility of obtaining another deformed extended Galilei groups is discussed, including one obtained from a non-standard Poincar\'e deformation.

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