Critical points of master functions and flag varieties

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dc.creatorMukhin, E.
dc.creatorVarchenko, A.
dc.date2002-09-02
dc.date.accessioned2026-07-07T04:50:33Z
dc.date.available2026-07-07T04:50:33Z
dc.descriptionWe consider critical points of master functions associated with integral dominant weights of Kac-Moody algebras and introduce a generating procedure constructing new critical points starting from a given one. The set of all critical points constructed from a given one is called a population. We formulate a conjecture that a population is isomorphic to the flag variety of the Langlands dual Kac-Moody algebra and prove the conjecture for algebras $sl_{N+1}, so_{2N+1}$, and $sp_{2N}$. We show that populations associated with a collection of integral dominant $sl_{N+1}$-weights are in one to one correspondence with intersection points of suitable Schubert cycles in a Grassmannian variety.
dc.descriptionLatex, 49 pages
dc.identifierhttps://arxiv.org/abs/math/0209017
dc.identifierhttp://arxiv.org/abs/math/0209017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64829
dc.subjectQuantum Algebra
dc.titleCritical points of master functions and flag varieties
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