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# 2 S ep 2 00 2 CRITICAL POINTS OF MASTER FUNCTIONS AND FLAG VARIETIES

@inproceedings{Mukhin2SE, title={2 S ep 2 00 2 CRITICAL POINTS OF MASTER FUNCTIONS AND FLAG VARIETIES}, author={Evgeny Mukhin and A. VARCHENKO} }

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 sl N +1 , so 2N +1 , and sp 2N. We show that… CONTINUE READING

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