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math.RT2017★ 2 cited
Weighted PBW degenerations and tropical flag varieties
Xin Fang, Evgeny Feigin, Ghislain Fourier +1
We study algebraic, combinatorial and geometric aspects of weighted PBW-type degenerations of (partial) flag varieties in type . These degenerations are labeled by degree functi…
math.RT2017
Semi-infinite Plücker relations and Weyl modules
Evgeny Feigin, Ievgen Makedonskyi
The goal of this paper is twofold. First, we write down the semi-infinite Plücker relations, describing the Drinfeld-Plücker embedding of the (formal version of) semi-infinite flag…
math.RT2017
Representation theoretic realization of non-symmetric Macdonald polynomials at infinity
Evgeny Feigin, Syu Kato, Ievgen Makedonskyi
We study the nonsymmetric Macdonald polynomials specialized at infinity from various points of view. First, we define a family of modules of the Iwahori algebra whose characters ar…