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Generalized Weyl modules for twisted current algebras

Research paper by Evgeny Feigin, Ievgen Makedonskyi

Indexed on: 16 Jun '16Published on: 16 Jun '16Published in: Mathematics - Representation Theory



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.