Generalized Weyl modules for twisted current algebras

I. A. Makedonskyi; E. B. Feigin

doi:10.1134/S0040577917080086

Generalized Weyl modules for twisted current algebras

I. A. Makedonskyi^*, E. B. Feigin

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1184-1204
Number of pages	21
Journal	Theoretical and Mathematical Physics(Russian Federation)
Volume	192
Issue number	2
DOIs	https://doi.org/10.1134/S0040577917080086
State	Published - 1 Aug 2017
Externally published	Yes

Keywords

Weyl module
affine algebra

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10.1134/S0040577917080086

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title = "Generalized Weyl modules for twisted current algebras",

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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Generalized Weyl modules for twisted current algebras

Abstract

Keywords

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