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• W2951799907 abstract "We use braided groups to introduce a theory of $*$-structures on general inhomogeneous quantum groups, which we formulate as {em quasi-$*$} Hopf algebras. This allows the construction of the tensor product of unitary representations up to a quantum cocycle isomorphism, which is a novel feature of the inhomogeneous case. Examples include $q$-Poincar'e quantum group enveloping algebras in $R$-matrix form appropriate to the previous $q$-Euclidean and $q$-Minkowski spacetime algebras $R_{21}x_1x_2=x_2x_1R$ and $R_{21}u_1Ru_2=u_2R_{21}u_1R$. We obtain unitarity of the fundamental differential representations. We show further that the Euclidean and Minkowski Poincar'e quantum groups are twisting equivalent by a another quantum cocycle." @default.
• W2951799907 created "2019-06-27" @default.
• W2951799907 creator A5074290225 @default.
• W2951799907 date "1995-03-23" @default.
• W2951799907 modified "2023-09-27" @default.
• W2951799907 title "Quasi-{$*$} Structure on {$q$}-Poincare algebras" @default.
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