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- W2963713103 abstract "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 $mathfrak{osp}(1,2)$ and the nonsymmetric Macdonald polynomials of types $A_2^{(2)}$ and $A_2^{(2)dagger}$. We compute the dimensions and construct bases of the Weyl modules. We also derive explicit formulas for the t=0 and t=infty 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." @default.
- W2963713103 created "2019-07-30" @default.
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- W2963713103 date "2017-01-01" @default.
- W2963713103 modified "2023-09-27" @default.
- W2963713103 title "Weyl modules for $mathfrak{osp}(1, 2)$ and nonsymmetric Macdonald polynomials" @default.
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- W2963713103 doi "https://doi.org/10.4310/mrl.2017.v24.n3.a6" @default.
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