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arxiv: 1606.05219 · v2 · pith:7DOG5VEUnew · submitted 2016-06-16 · 🧮 math.RT · math.CO

Generalized Weyl modules for twisted current algebras

classification 🧮 math.RT math.CO
keywords modulesweylalgebrascurrentgeneralizedtwistedapplicationcase
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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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