First-Order Differential Calculi Over Multi-Braided Quantum Groups

dc.creatorDurdevic, Mico
dc.date1996-05-05
dc.date.accessioned2026-07-07T09:16:56Z
dc.date.available2026-07-07T09:16:56Z
dc.descriptionA 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.
dc.description32 pages, AMS-LaTeX/1, this is the revised version of an unpublished `92 article
dc.identifierhttps://arxiv.org/abs/q-alg/9605006
dc.identifierhttp://arxiv.org/abs/q-alg/9605006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153533
dc.subjectQuantum Algebra
dc.titleFirst-Order Differential Calculi Over Multi-Braided Quantum Groups
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