dorsal/arxiv
View SchemaClifford Hopf-gebra and Bi-universal Hopf-gebra
| Authors | Zbigniew Oziewicz |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9709016 |
| URL | https://arxiv.org/abs/q-alg/9709016 |
| DOI | 10.1023/A:1022833801475 |
| Journal | Czechoslovak Journal of Physics Vol. 47 (12) (1997) 1267-1274 |
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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"abstract": "We consider a pair of independent scalar products, one scalar product on\nvectors, and another independent scalar product on dual space of co-vectors.\nThe Clifford co-product of multivectors is calculated from the dual Clifford\nalgebra. With respect to this co-product unit is not group-like and vectors are\nnot primitive. The Clifford product and the Clifford co-product fits to the\nbi-gebra with respect to the family of the (pre)-braids. The Clifford bi-gebra\nis in a braided category iff at least one of these scalar products vanish.",
"arxiv_id": "q-alg/9709016",
"authors": [
"Zbigniew Oziewicz"
],
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"q-alg",
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"doi": "10.1023/A:1022833801475",
"journal_ref": "Czechoslovak Journal of Physics Vol. 47 (12) (1997) 1267-1274",
"title": "Clifford Hopf-gebra and Bi-universal Hopf-gebra",
"url": "https://arxiv.org/abs/q-alg/9709016"
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