3 papers
math.RT2017
Cohomology of the flag variety under PBW degenerations
Martina Lanini, Elisabetta Strickland
PBW degenerations are a particularly nice family of flat degenerations of type A flag varieties. We show that the cohomology of any PBW degeneration of the flag variety surjects on…
math.RT2015
Parabolic degeneration of rational Cherednik algebras
Stephen Griffeth, Armin Gusenbauer, Daniel Juteau +1
We introduce parabolic degenerations of rational Cherednik algebras of complex reflection groups, and use them to give necessary conditions for finite-dimensionality of an irreduci…
math.RT2012
On the stable moment graph of an affine Kac--Moody algebra
Martina Lanini
In 1980 Lusztig proved a stabilisation property of the affine Kazhdan-Lusztig polynomials. In this paper we give a categorical version of such a result using the theory of sheaves…