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arxiv: q-alg/9602032 · v2 · submitted 1996-02-22 · q-alg · math.QA

Deformed and extended Galilei group Hopf algebras

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keywords deformedextendedgalileigroupkappaalgebrahopfpoincar
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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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