Nonstandard Quantum Groups and Superisation

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dc.creatorMajid, S.
dc.creatorRodriguez-Plaza, M. J.
dc.date1995-06-13
dc.date.accessioned2026-07-07T09:16:36Z
dc.date.available2026-07-07T09:16:36Z
dc.descriptionWe obtain the universal R-matrix of the non-standard quantum group associated to the Alexander-Conway knot polynomial. We show further that this non-standard quantum group is related to the super-quantum group $U_qgl(1|1)$ by a general process of superization, which we describe. We also study a twisted variant of this non-standard quantum group and obtain, as a result, a twisted version of $U_qgl(1|1)$ as a $q$-supersymmetry of the exterior differential calculus of any quantum plane of Hecke type, acting by mixing the bosonic $x_i$ co-ordinates and the forms $d x_i$.
dc.description31 pages LATEX
dc.identifierhttps://arxiv.org/abs/q-alg/9506015
dc.identifierhttp://arxiv.org/abs/q-alg/9506015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153405
dc.subjectQuantum Algebra
dc.titleNonstandard Quantum Groups and Superisation
dc.typetext

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