Modified Affine Hecke Algebras and Drinfeldians of Type A

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dc.creatorTolstoy, V. N.
dc.creatorOgievetsky, O. V.
dc.creatorPyatov, P. N.
dc.creatorIsaev, A. P.
dc.date1999-12-08
dc.date.accessioned2026-07-07T05:32:11Z
dc.date.available2026-07-07T05:32:11Z
dc.descriptionWe introduce a modified affine Hecke algebra $\h{H}^{+}_{qη}({l})$ ($\h{H}_{qη}({l})$) which depends on two deformation parameters $q$ and $η$. When the parameter $η$ is equal to zero the algebra $\h{H}_{qη=0}(l)$ coincides with the usual affine Hecke algebra $\h{H}_{q}(l)$ of type $A_{l-1}$, if the parameter q goes to 1 the algebra $\h{H}^{+}_{q=1η}(l)$ is isomorphic to the degenerate affine Hecke algebra $\Lm_η(l)$ introduced by Drinfeld. We construct a functor from a category of representations of $H_{qη}^{+}(l)$ into a category of representations of Drinfeldian $D_{qη}(sl(n+1))$ which has been introduced by the first author.
dc.description11 pages, LATEX. Contribution to Proceedings "Quantum Theory and Symmetries" (Goslar, July 18-22, 1999) (World Scientific, 2000)
dc.identifierhttps://arxiv.org/abs/math/9912063
dc.identifierhttp://arxiv.org/abs/math/9912063
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79569
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subjectRepresentation Theory
dc.subject81R10, 17B37, 16W30
dc.titleModified Affine Hecke Algebras and Drinfeldians of Type A
dc.typetext

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