Principal $\hat{sl}(3)$ subspaces and quantum Toda Hamiltonian

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dc.creatorFeigin, B.
dc.creatorFeigin, E.
dc.creatorJimbo, M.
dc.creatorMiwa, T.
dc.creatorMukhin, E.
dc.date2007-07-11
dc.date2007-08-27
dc.date.accessioned2026-07-07T08:25:35Z
dc.date.available2026-07-07T08:25:35Z
dc.descriptionWe study a class of representations of the Lie algebra of Laurent polynomials with values in the nilpotent subalgebra of sl(3). We derive Weyl-type (bosonic) character formulas for these representations. We establish a connection between the bosonic formulas and the Whittaker vector in the Verma module for the quantum group $U_v sl(3)$. We also obtain a fermionic formula for an eigenfunction of the sl(3) quantum Toda Hamiltonian.
dc.descriptionLatex, 42 pages
dc.identifierhttps://arxiv.org/abs/0707.1635
dc.identifierhttp://arxiv.org/abs/0707.1635
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136666
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.titlePrincipal $\hat{sl}(3)$ subspaces and quantum Toda Hamiltonian
dc.typetext

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