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arXiv · q-alg/9709016

Clifford Hopf-gebra and Bi-universal Hopf-gebra

Zbigniew Oziewicz
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Abstract

We consider a pair of independent scalar products, one scalar product on vectors, and another independent scalar product on dual space of co-vectors. The Clifford co-product of multivectors is calculated from the dual Clifford algebra. With respect to this co-product unit is not group-like and vectors are not primitive. The Clifford product and the Clifford co-product fits to the bi-gebra with respect to the family of the (pre)-braids. The Clifford bi-gebra is in a braided category iff at least one of these scalar products vanish.

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BibTeXRIS

Zbigniew Oziewicz. 1997-09-11. Clifford Hopf-gebra and Bi-universal Hopf-gebra. https://doi.org/10.1023/a%3A1022833801475

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