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Regular version of the site

Working paper

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

math. arxive. Cornell University, 2015. No. 1507.01362.
Feigin E., Makedonskyi I.
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 ${A_2}^{2\dagger}$  . 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