dorsal/arxiv
View SchemaClifford Algebras and Spinors for Arbitrary Braids
| Authors | Mico Durdevic, Zbigniew Oziewicz |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9412002 |
| URL | https://arxiv.org/abs/q-alg/9412002 |
Abstract
General braided counterparts of classical Clifford algebras are introduced and investigated. Braided Clifford algebras are defined as Chevalley-Kahler deformations of the corresponding braided exterior algebras. Analogs of the spinor representations are studied, generalizing classical Cartan's approach. It is shown that, under certain assumptions concerning the braiding, the spinor representation is faithful and irreducible, as in the classical theory.
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"abstract": "General braided counterparts of classical Clifford algebras are introduced\nand investigated. Braided Clifford algebras are defined as Chevalley-Kahler\ndeformations of the corresponding braided exterior algebras. Analogs of the\nspinor representations are studied, generalizing classical Cartan\u0027s approach.\nIt is shown that, under certain assumptions concerning the braiding, the spinor\nrepresentation is faithful and irreducible, as in the classical theory.",
"arxiv_id": "q-alg/9412002",
"authors": [
"Mico Durdevic",
"Zbigniew Oziewicz"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Clifford Algebras and Spinors for Arbitrary Braids",
"url": "https://arxiv.org/abs/q-alg/9412002"
},
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