Tensor extension of the Poincar\'e algebra

Dmitrij V. Soroka; Vyacheslav A. Soroka

Tensor extension of the Poincar\'e algebra

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arxiv hep-th/0410012 v2 pith:QXY3FHNP submitted 2004-10-01 hep-th

Dmitrij V. Soroka , Vyacheslav A. Soroka This is my paper

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keywords extensionalgebradimensionspoincartensorarbitrarycasimirconstructed

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abstract

A tensor extension of the Poincar\'e algebra is proposed for the arbitrary dimensions. Casimir operators of the extension are constructed. A possible supersymmetric generalization of this extension is also found in the dimensions $D=2,3,4$.

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