Deformed and extended Galilei group Hopf algebras

Abstract

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

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

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