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math.RT2019
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…
math.RT2018
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…