Critical Points of Master Functions and Flag Varieties
نویسنده
چکیده
We 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 conjectures for algebras slN+1, so2N+1, and sp2N . We show that populations associated with a collection of integral dominant slN+1weights are in one to one correspondence with intersection points of suitable Schubert cycles in a Grassmannian variety.
منابع مشابه
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