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math.RT2025
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…
math.RT2025
Reflexive dg categories in algebra and topology
Matt Booth, Isambard Goodbody, Sebastian Opper
Reflexive dg categories were introduced by Kuznetsov and Shinder to abstract the duality between bounded and perfect derived categories. In particular this duality relates their Ho…