Generalized Weyl modules for twisted current algebras

2016/06/16 by Evgeny Feigin, Feigin, Evgeny, Ievgen Makedonskyi +1
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1606.05219

openalex publication_date 2016/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• BGG reciprocity for current algebras

Related

• Weyl modules for mathfrakosp(1,2) and nonsymmetric Macdonald\n polynomials
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• Representations of twisted current algebras
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• Highest weight categories and Macdonald polynomials