Filtrations on block subalgebras of reduced enveloping algebras
Published in Journal of Algebra and its Applications, 2022
Recommended citation: Ionov, Andrei, and Dylan Pentland. "Filtrations on block subalgebras of reduced enveloping algebras." Journal of Algebra and Its Applications 21.12 (2022): 2350001. https://arxiv.org/pdf/2009.07477.pdf
(With Andrei Ionov) We study several natural filtrations related to the PBW filtration of block subalgebra of restricted universal enveloping algebras. We show how to study the associated graded using the nilpotent cone, and compute it in the case of SL2.