Clifford Hopf-gebra and Bi-universal Hopf-gebra

Details Clifford Hopf-gebra and Bi-universal Hopf-gebra Clifford Hopf-gebra and Bi-universal Hopf-gebra

1997-09-11

arxiv.org/abs/q-alg/9709016v1

Czechoslovak Journal of Physics Vol. 47 (12) (1997) 1267-1274

Mathematics

Quantum Algebra

Run LaTeX2e three times, 8 pages. Submitted to Czechoslovak Journal of Physics, August 1997

Scientific paper

10.1023/A:1022833801475

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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