Clifford Hopf-gebra and Bi-universal Hopf-gebra
arXiv:q-alg/9709016 · doi:10.1023/A:1022833801475
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.
Run LaTeX2e three times, 8 pages. Submitted to Czechoslovak Journal of Physics, August 1997