90 citations · 418 across the 58 of their papers we have counts for
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Generalized Weyl modules for twisted current algebras
Evgeny Feigin, Ievgen Makedonskyi
We introduce the notion of generalized Weyl modules for twisted current algebras. We study their representation-theoretic and combinatorial properties and connection to the theory…
Generalized Weyl modules and nonsymmetric -Whittaker functions
Evgeny Feigin, Ievgen Makedonskyi, Daniel Orr
We introduce generalized global Weyl modules and relate their graded characters to nonsymmetric Macdonald polynomials and nonsymmetric -Whittaker functions. In particular, we sh…
Vertices of FFLV polytopes
Evgeny Feigin, Igor Makhlin
FFLV polytopes describe monomial bases in irreducible representations of and . We study various sets of vertices of FFLV polytopes. First, we…
Linear degenerations of flag varieties
Giovanni Cerulli Irelli, Xin Fang, Evgeny Feigin +2
Linear degenerate flag varieties are degenerations of flag varieties as quiver Grassmannians. For type A flag varieties, we obtain characterizations of flatness, irreducibility and…