Schubert calculus and representations of general linear group

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dc.creatorMukhin, E.
dc.creatorTarasov, V.
dc.creatorVarchenko, A.
dc.date2007-11-26
dc.date.accessioned2026-07-07T08:45:03Z
dc.date.available2026-07-07T08:45:03Z
dc.descriptionWe construct a canonical isomorphism between the Bethe algebra acting on a multiplicity space of a tensor product of evaluation gl_N[t]-modules and the scheme-theoretic intersection of suitable Schubert varieties. Moreover, we prove that the multiplicity space as a module over the Bethe algebra is isomorphic to the coregular representation of the scheme-theoretic intersection. In particular, this result implies the simplicity of the spectrum of the Bethe algebra for real values of evaluation parameters and the transversality of the intersection of the corresponding Schubert varieties.
dc.descriptionLatex, 32 pages
dc.identifierhttps://arxiv.org/abs/0711.4079
dc.identifierhttp://arxiv.org/abs/0711.4079
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142863
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subjectAlgebraic Geometry
dc.titleSchubert calculus and representations of general linear group
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