This article is cited in 3 papers

Generalized Weyl modules for twisted current algebras

E. A. Makedonskii^ab, E. B. Feigin<sup>ac

a</sup> National Research University "Higher School of Economics", Moscow, Russia
^b Max Planck Institute for Mathematics, Bonn, Germany
^c Skolkovo Institute of Science and Technology, Moscow, Russia

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

Keywords: Weyl module, affine algebra.

Received: 24.11.2016

DOI: 10.4213/tmf9305

 English version: Theoretical and Mathematical Physics, 2017, 192:2, 1184–1204

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