Solutions to the XXX type Bethe ansatz equations and flag varieties

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dc.creatorMukhin, E.
dc.creatorVarchenko, A.
dc.date2002-11-20
dc.date.accessioned2026-07-07T04:53:08Z
dc.date.available2026-07-07T04:53:08Z
dc.descriptionWe consider a version of the A_N Bethe equation of XXX type and introduce a reproduction procedure constructing new solutions of this equation from a given one. The set of all solutions obtained from a given one is called a population. We show that a population is isomorphic to the sl_{N+1} flag variety and that the populations are in one-to-one correspondence with intersection points of suitable Schubert cycles in a Grassmanian variety. We also obtain similar results for the root systems B_N and C_N. Populations of B_N and C_N type are isomorphic to the flag varieties of C_N and B_N types respectively.
dc.descriptionLatex, 32 pages
dc.identifierhttps://arxiv.org/abs/math/0211321
dc.identifierhttp://arxiv.org/abs/math/0211321
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65729
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.titleSolutions to the XXX type Bethe ansatz equations and flag varieties
dc.typetext

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