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arxiv: hep-th/9412114 · v1 · submitted 1994-12-13 · ✦ hep-th

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The classical basis for kappa-deformed Poincar\'e (super)algebra and the second kappa-deformed supersymmetric Casimir

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classification ✦ hep-th
keywords poinclassicalgeneratorskdefalgebrasuperalgebrabasiscasimir
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We present here the general solution describing generators of \kdef \poin algebra as the functions of classical \poin algebra generators as well as the inverse formulae. Further we present analogous relations for the generators of N=1 D=4 \kdef \poin superalgebra expressed by the classical \poin superalgebra generators. In such a way we obtain the \kdef \poin (super)algebras with all the quantum deformation present only in the coalgebra sector. Using the classical basis of \kdef \poin superalgebra we obtain as a new result the $\k$-deformation of supersymmetric covariant spin square Casimir.

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