6 papers · 1 filter
Totally nonnegative Grassmannians, Grassmann necklaces and quiver Grassmannians
Evgeny Feigin, Martina Lanini, Alexander Pütz
Postnikov constructed a cellular decomposition of the totally nonnegative Grassmannians. The poset of cells can be described (in particular) via Grassmann necklaces. We study certa…
Permutation actions on Quiver Grassmannians for the equioriented cycle via GKM-Theory
Martina Lanini, Alexander Pütz
In previous work we equipped quiver Grassmannians for nilpotent representations of the equioriented cycle with an action of an algebraic torus. We show here that the equivariant co…
The Steinberg-Lusztig tensor product theorem, Casselman-Shalika and LLT polynomials
Martina Lanini, Arun Ram
In this paper we establish a Steinberg-Lusztig tensor product theorem for abstract Fock space. This is a generalization of the type A result of Leclerc-Thibon and a Grothendieck gr…
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…
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…
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…