dorsal/arxiv
View SchemaFirst-Order Differential Calculi Over Multi-Braided Quantum Groups
| Authors | Mico Durdevic |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9605006 |
| URL | https://arxiv.org/abs/q-alg/9605006 |
Abstract
A differential calculus of the first order over multi-braided quantum groups is developed. In analogy with the standard theory, left/right-covariant and bicovariant differential structures are introduced and investigated. Furthermore, antipodally covariant calculi are studied. The concept of the *-structure on a multi-braided quantum group is formulated, and in particular the structure of left-covariant *-covariant calculi is analyzed. A special attention is given to differential calculi covariant with respect to the action of the associated braid system. In particular it is shown that the left/right braided-covariance appears as a consequence of the left/right-covariance relative to the group action. Braided counterparts of all basic results of the standard theory are found.
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"abstract": "A differential calculus of the first order over multi-braided quantum groups\nis developed. In analogy with the standard theory, left/right-covariant and\nbicovariant differential structures are introduced and investigated.\nFurthermore, antipodally covariant calculi are studied. The concept of the\n*-structure on a multi-braided quantum group is formulated, and in particular\nthe structure of left-covariant *-covariant calculi is analyzed. A special\nattention is given to differential calculi covariant with respect to the action\nof the associated braid system. In particular it is shown that the left/right\nbraided-covariance appears as a consequence of the left/right-covariance\nrelative to the group action. Braided counterparts of all basic results of the\nstandard theory are found.",
"arxiv_id": "q-alg/9605006",
"authors": [
"Mico Durdevic"
],
"categories": [
"q-alg",
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],
"title": "First-Order Differential Calculi Over Multi-Braided Quantum Groups",
"url": "https://arxiv.org/abs/q-alg/9605006"
},
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