4 papers
Non-homogeneous Koszul duality in representation theory
Gwyn Bellamy, Simone Castellan, Isambard Goodbody
Motivated by the representation theory of symplectic reflection algebras, deformed preprojective algebras, and graded Hecke algebras, we consider filtered algebras whose associ…
Module structure of Weyl algebras
Gwyn Bellamy
The seminal paper "J.T. Stafford, Module structure of Weyl algebras, J. London Math. Soc. (2) 18 (1978), no. 3, 429--442" was a major step forward in our understanding of Weyl alge…
Lagrangian Skeleta and Koszul Duality on Bionic Symplectic Varieties
Gwyn Bellamy, Christopher Dodd, Kevin McGerty +1
We consider the category of modules over sheaves of Deformation-Quantization (DQ) algebras on bionic symplectic varieties. These spaces are equipped with both an elliptic $\mathbb{…
Pull-back and push-forward functors for holonomic modules over Cherednik algebras
Gwyn Bellamy, Pavel Etingof, Daniel Thompson
In this article we continue the study of holonomic modules over sheaves of Cherednik algebras, initiated by the third author in [Tho18]. Under mild assumptions on the parameters, w…