3 citations · 8 across the 14 of their papers we have counts for
6 papers · 1 filter
Poset polytopes and pipe dreams: types C and B
Ievgen Makedonskyi, Igor Makhlin
The first part of this paper concerns type C. We present new explicitly defined families of algebro-combinatorial structures of three kinds: combinatorial bases in representations,…
PBW degenerate Schubert varieties: Cartan components and counterexamples
Igor Makhlin
In recent years PBW degenerations of Demazure modules and Schubert varieties were defined and studied in several papers. Various interesting properties (such as these PBW degenerat…
Gelfand--Tsetlin degenerations of representations and flag varieties
Igor Makhlin
Our main goal is to show that the Gelfand--Tsetlin toric degeneration of the type A flag variety can be obtained within a degenerate representation-theoretic framework similar to t…
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…
Weyl's Formula as the Brion Theorem for Gelfand-Tsetlin Polytopes
Igor Makhlin
We exploit the idea that the character of an irreducible finite dimensional -module is the sum of certain exponents of integer points in a Gelfand-Tsetlin polytope…
Characters of Feigin-Stoyanovsky subspaces and Brion's theorem
Igor Makhlin
We give an alternative proof of the main result of the paper http://arxiv.org/abs/math/0112104, the proof relies on Brion's theorem about convex polyhedra. The result itself can be…