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math.RT2015
Generalized Weyl modules, alcove paths and Macdonald polynomials
Evgeny Feigin, Ievgen Makedonskyi
Classical local Weyl modules for a simple Lie algebra are labeled by dominant weights. We generalize the definition to the case of arbitrary weights and study the properties of the…
math.RT2015
Weyl modules for and nonsymmetric Macdonald polynomials
Evgeny Feigin, Ievgen Makedonskyi
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 and the…