On q-deformed gl(l+1)-Whittaker function III

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dc.creatorGerasimov, Anton
dc.creatorLebedev, Dimitri
dc.creatorOblezin, Sergey
dc.date2008-05-24
dc.date2008-06-11
dc.date.accessioned2026-07-07T09:43:31Z
dc.date.available2026-07-07T09:43:31Z
dc.descriptionWe identify q-deformed gl(l+1)-Whittaker functions with a specialization of Macdonald polynomials. This provides a representation of q-deformed gl(l+1)-Whittaker functions in terms of Demazure characters of affine Lie algebra \hat{gl(l+1)}. We also define a system of dual Hamiltonians for q-deformed gl(l+1)-Toda chains and give a new integral representation for q-deformed gl(l+1)-Whittaker functions. Finally an expression of q-deformed gl(l+1)-Whittaker function as a matrix element of a quantum torus algebra is derived.
dc.description20 pages, several typos corrected
dc.identifierhttps://arxiv.org/abs/0805.3754
dc.identifierhttp://arxiv.org/abs/0805.3754
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162585
dc.subjectRepresentation Theory
dc.subjectAlgebraic Geometry
dc.titleOn q-deformed gl(l+1)-Whittaker function III
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