Weyl modules for osp(1, 2) and nonsymmetric MacDonald polynomials

Evgeny Feigin, Ievgen Makedonskyi

Research output: Contribution to journalArticlepeer-review


The main goal of our paper is to establish a connection between the Weyl modules of the current Lie superalgebras (twisted and untwisted) attached to osp(1, 2) and the nonsymmetric Macdonald polynomials of types A(2) 2 and A(2) 2 . We compute the dimensions and construct bases of the Weyl modules. We also derive explicit formulas for the t = 0 and t = ∞ specializations of the nonsymmetric Macdonald polynomials. We show that the specializations can be described in terms of the Lie superalgebras action on the Weyl modules.

Original languageEnglish
Pages (from-to)741-766
Number of pages26
JournalMathematical Research Letters
Issue number3
StatePublished - 2017
Externally publishedYes


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