dorsal/arxiv
View SchemaBraided antisymmetrizer as bialgebra homomorphism
| Authors | J. Rozanski |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9512008 |
| URL | https://arxiv.org/abs/q-alg/9512008 |
| DOI | 10.1016/0034-4877(96)88958-0 |
Abstract
For an Yang Baxter operator we show that a bialgebra homomorphism from a free braided tensor bialgebra to a cofree braided shuffle bialgebra is the Woronowicz braided antisymmetrizer. A cofree braided shuffle bialgebra is a braided generalization of a cofree shuffle bialgebra introduced by Sweedler. Its graded dual bialgebra is a free braided tensor bialgebra.
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"abstract": "For an Yang Baxter operator we show that a bialgebra homomorphism from a free\nbraided tensor bialgebra to a cofree braided shuffle bialgebra is the\nWoronowicz braided antisymmetrizer. A cofree braided shuffle bialgebra is a\nbraided generalization of a cofree shuffle bialgebra introduced by Sweedler.\nIts graded dual bialgebra is a free braided tensor bialgebra.",
"arxiv_id": "q-alg/9512008",
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"J. Rozanski"
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"doi": "10.1016/0034-4877(96)88958-0",
"title": "Braided antisymmetrizer as bialgebra homomorphism",
"url": "https://arxiv.org/abs/q-alg/9512008"
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