Email this article Generalized Weyl modules for twisted current algebras
- Authors: Makedonskyi I.A.1,2, Feigin E.B.1,3
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Affiliations:
- National Research University Higher School of Economics
- Max Planck Institute for Mathematics
- Skolkovo Institute of Science and Technology
- Issue: Vol 192, No 2 (2017)
- Pages: 1184-1204
- Section: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/171362
- DOI: https://doi.org/10.1134/S0040577917080086
- ID: 171362
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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.
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About the authors
I. A. Makedonskyi
National Research University Higher School of Economics; Max Planck Institute for Mathematics
Author for correspondence.
Email: makedonskii_e@mail.ru
Russian Federation, Moscow; Bonn
E. B. Feigin
National Research University Higher School of Economics; Skolkovo Institute of Science and Technology
Email: makedonskii_e@mail.ru
Russian Federation, Moscow; Moscow
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