Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5771676 | Journal of Algebra | 2018 | 21 Pages |
Abstract
The goal of this paper is to generalize several basic results from the theory of D-modules to the representation theory of rational Cherednik algebras. We relate characterizations of holonomic modules in terms of singular support and Gelfand-Kirillov dimension. We study pullback, pushforward, and dual on the derived category of (holonomic) Cherednik modules for certain classes of maps between varieties. We prove, in the case of generic parameters for the rational Cherednik algebra, that pushforward with respect to an open affine inclusion preserves holonomicity.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Daniel Thompson,