12 citations · 15 across the 3 of their papers we have counts for
3 papers
math.AG2024
Poset polytopes and pipe dreams: toric degenerations and beyond
Ievgen Makedonskyi, Igor Makhlin
We demonstrate how pipe dreams can be applied to the theory of poset polytopes to produce toric degenerations of flag varieties. Specifically, we present such constructions for mar…
math.RT2014★ 12 cited
Nonsymmetric Macdonald polynomials, Demazure modules and PBW filtration
Evgeny Feigin, Ievgen Makedonskyi
The Cherednik-Orr conjecture expresses the limit of the nonsymmetric Macdonald polynomials in terms of the PBW twisted characters of the affine level one Demazure modu…
math.RA2012★ 3 cited
On wild Lie algebras
Ievgen Makedonskyi
We give a criterion of tameness and wildness for a finite-dimensional Lie algebra over an algebraically closed field.