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math.RT2005
Poincare-Birkhoff-Witt expansions of the canonical elliptic differential form
G. Felder, R. Rimanyi, A. Varchenko
We study the canonical U(\n)-valued elliptic differential form, whose projections to different Kac-Moody algebras are key ingredients of the hypergeometric integral solutions of el…
math.RT1998
Remarks on critical points of phase functions and norms of Bethe vectors
Evgeny Mukhin, Alexander Varchenko
We consider a tensor product of a Verma module and the linear representation of . We prove that the corresponding phase function, which is used in the solutions of the KZ…