dorsal/arxiv
View SchemaCentral bialgebras in Braided Categories and Coquasitriangular Structures
| Authors | Phung Ho Hai |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9601008 |
| URL | https://arxiv.org/abs/q-alg/9601008 |
| Journal | J. of Pure and Applied Alg., 140(1999), 229-250 |
Abstract
Central bialgebras in a braided category $\C$ are algebras in the center of the category of coalgebras in $\C$. On these bialgebras another product can be defined, which plays the role of the opposite product. Hence, coquasitriangular structures on central bialgebras can be defined. We prove some properties of the antipode on coquasitriangular central Hopf algebras and give a characterization of central bialgebras.
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"abstract": "Central bialgebras in a braided category $\\C$ are algebras in the center of\nthe category of coalgebras in $\\C$. On these bialgebras another product can be\ndefined, which plays the role of the opposite product. Hence, coquasitriangular\nstructures on central bialgebras can be defined. We prove some properties of\nthe antipode on coquasitriangular central Hopf algebras and give a\ncharacterization of central bialgebras.",
"arxiv_id": "q-alg/9601008",
"authors": [
"Phung Ho Hai"
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"journal_ref": "J. of Pure and Applied Alg., 140(1999), 229-250",
"title": "Central bialgebras in Braided Categories and Coquasitriangular Structures",
"url": "https://arxiv.org/abs/q-alg/9601008"
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