3 papers
math.RT2021
Unitary representations of cyclotomic Hecke algebras at roots of unity: combinatorial classification and BGG resolutions
Chris Bowman, Emily Norton, José Simental
We relate the classes of unitary and calibrated representations of cyclotomic Hecke algebras and, in particular, we show that for the most important deformation parameters these tw…
math.RT2020
Representations with minimal support for quantized Gieseker varieties
Pavel Etingof, Vasily Krylov, Ivan Losev +1
We study the minimally supported representations of quantizations of Gieseker moduli spaces. We relate them to -equivariant D-modules on the nilpotent cone of…
math.RT2018
Characteristic-free bases and BGG resolutions of unitary simple modules for quiver Hecke and Cherednik algebras
C. Bowman, E. Norton, J. Simental
We construct characteristic-free bases and BGG resolutions of unitary simple modules of quiver Hecke algebras and Cherednik algebras. We hence solve and vastly generalise Berkesch-…