Solutions Of The Yang-baxter Equations From Braided-Lie Algebras And Braided Groups

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dc.creatorMajid, Shahn
dc.date1993-12-15
dc.date1993-12-16
dc.date.accessioned2026-07-07T09:01:26Z
dc.date.available2026-07-07T09:01:26Z
dc.descriptionWe obtain an R-matrix or matrix representation of the Artin braid group acting in a canonical way on the vector space of every (super)-Lie algebra or braided-Lie algebra. The same result applies for every (super)-Hopf algebra or braided-Hopf algebra. We recover some known representations such as those associated to racks. We also obtain new representations such as a non-trivial one on the ring $k[x]$ of polynomials in one variable, regarded as a braided-line. Representations of the extended Artin braid group for braids in the complement of $S^1$ are also obtained by the same method.
dc.description29 pages
dc.identifierhttps://arxiv.org/abs/hep-th/9312140
dc.identifierhttp://arxiv.org/abs/hep-th/9312140
dc.identifierJ.Knot Theor.Ramifications 4 (1995) 673-697
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/148317
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleSolutions Of The Yang-baxter Equations From Braided-Lie Algebras And Braided Groups
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