Generalized Weyl modules for twisted current algebras

Published 16 Jun 2016 in math.RT and math.CO | (1606.05219v2)

Abstract: We introduce the notion of generalized Weyl modules for twisted current algebras. We study their representation-theoretic and combinatorial properties and connection to the theory of nonsymmetric Macdonald polynomials. As an application we compute the dimension of the classical Weyl modules in the remaining unknown case.

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