Gaudin Hamiltonians generate the Bethe algebra of a tensor power of vector representation of gl_N

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dc.creatorMukhin, E.
dc.creatorTarasov, V.
dc.creatorVarchenko, A.
dc.date2009-04-14
dc.date.accessioned2026-07-07T13:03:44Z
dc.date.available2026-07-07T13:03:44Z
dc.descriptionWe show that the Gaudin Hamiltonians H_1,...,H_n generate the Bethe algebra of the n-fold tensor power of the vector representation of gl_N. Surprisingly the formula for the generators of the Bethe algebra in terms of the Gaudin Hamiltonians does not depend on N. Moreover, this formula coincides with Wilson's formula for the stationary Baker-Akhiezer function on the adelic Grassmannian.
dc.descriptionLatex, 11 pages
dc.identifierhttps://arxiv.org/abs/0904.2131
dc.identifierhttp://arxiv.org/abs/0904.2131
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226912
dc.subjectQuantum Algebra
dc.titleGaudin Hamiltonians generate the Bethe algebra of a tensor power of vector representation of gl_N
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