Whittaker functions on quantum groups and q-deformed Toda operators

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dc.creatorEtingof, Pavel
dc.date1999-01-13
dc.date.accessioned2026-07-07T05:27:32Z
dc.date.available2026-07-07T05:27:32Z
dc.descriptionIn this paper we q-deform a construction of Kazhdan and Kostant from 1970's which produces quantum Toda Hamiltonians by considering the action of Casimirs of a simple Lie algebra on Whittaker functions on the corresponding Lie group. We also give the affine analog of this generalization. This is done by extending the notion of a Whittaker function to quantum groups and quantum affine algebras. We compute the q-deformed Toda Hamiltonians for Lie algebras of type A and show that they coincide with those known in the theory of integrable systems.
dc.description17 pages, amstex
dc.identifierhttps://arxiv.org/abs/math/9901053
dc.identifierhttp://arxiv.org/abs/math/9901053
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77952
dc.subjectQuantum Algebra
dc.titleWhittaker functions on quantum groups and q-deformed Toda operators
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