Canonical and Lie-algebraic twist deformations of $κ$-Poincare and contractions to $κ$-Galilei algebras

Physics – Mathematical Physics

Scientific paper

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16 pages, no figures, v3: few changes provided - version for journal, v2: submitted incidentally, v4: the page numbers for all

Scientific paper

10.1142/S0217751X08042262

We propose canonical and Lie-algebraic twist deformations of $\kappa$-deformed Poincare Hopf algebra which leads to the generalized $\kappa$-Minkowski space-time relations. The corresponding deformed $\kappa$-Poincare quantum groups are also calculated. Finally, we perform the nonrelativistic contraction limit to the corresponding twisted Galilean algebras and dual Galilean quantum groups.

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