Givental Integral Representation for Classical Groups

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dc.creatorGerasimov, A.
dc.creatorLebedev, D.
dc.creatorOblezin, S.
dc.date2006-08-06
dc.date2006-08-15
dc.date.accessioned2026-07-07T07:21:27Z
dc.date.available2026-07-07T07:21:27Z
dc.descriptionWe propose integral representations for wave functions of B_n, C_n, and D_n open Toda chains at zero eigenvalues of the Hamiltonian operators thus generalizing Givental representation for A_n. We also construct Baxter Q-operators for closed Toda chains corresponding to Lie algebras B_{\infty}, C_{\infty}, D_{\infty}, affine Lie algebras B^{(1)}_n, C^{(1)}_n, D^{(1)}_n and twisted affine Lie algebras A^{(2)}_{2n-1} and A^{(2)}_{2n}. Our approach is based on a generalization of the connection between Baxter Q-operator for A_n^{(1)} closed Toda chain and Givental representation for the wave function of A_n open Toda chain uncovered previously.
dc.descriptionTypos are corrected, Section 5 is extended, AmsLaTex, 19 pages
dc.identifierhttps://arxiv.org/abs/math/0608152
dc.identifierhttp://arxiv.org/abs/math/0608152
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115304
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.titleGivental Integral Representation for Classical Groups
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