Two-row nilpotent orbits of cyclic quivers
Anthony Henderson
Abstract
We prove that the local intersection cohomology of nilpotent orbit closures of cyclic quivers is trivial when the two orbits involved correspond to partitions with at most two rows. This gives a geometric proof of a result of Graham and Lehrer, which states that standard modules of the affine Hecke algebra of GLd corresponding to nilpotents with at most two Jordan blocks are multiplicity-free.
Create a lesson
Related papers
Tate cohomology of unipotent cuspidal representations of finite groups of Lie type
Sabyasachi Dhar
Ideal filtrations and stabilization in alternating HRS tilting
Zhe Han, Ping He
Differential operator approach to the duality
Qianqi Wang
A Counterexample To The TF-cone Conjecture
Jindong Yan, Shenglin Zhu
The Cartan determinant conjecture for representation-finite algebras over perfect fields
Liang Chen
Multiplicity One and van Dijk's Conjecture for Connected Complex Symmetric Spaces
Yuxuan Ge