On R-matrix representations of Birman-Murakami-Wenzl algebras

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dc.creatorIsaev, A. P.
dc.creatorOgievetsky, O. V.
dc.creatorPyatov, P. N.
dc.date2005-09-12
dc.date.accessioned2026-07-07T05:23:07Z
dc.date.available2026-07-07T05:23:07Z
dc.descriptionWe show that to every local representation of the Birman-Murakami-Wenzl algebra defined by a skew-invertible R-matrix $R\in Aut(V\otimes V)$ one can associate pairings $V\otimes V\to C$ and $V^*\otimes V^*\to C$, where V is the representation space. Further, we investigate conditions under which the corresponding quantum group is of SO or Sp type.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0509251
dc.identifierhttp://arxiv.org/abs/math/0509251
dc.identifierProc. of Steklov Math. Institute vol.246, 2004, pp.134-141
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76315
dc.subjectQuantum Algebra
dc.subject20G42
dc.titleOn R-matrix representations of Birman-Murakami-Wenzl algebras
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