3 papers
math.RT2026
Scopes equivalence for blocks of Ariki-Koike algebras
Joseph Chuang, Kai Meng Tan
We obtain necessary and sufficient conditions for a block of an Ariki-Koike algebra to have the property that all its associated multipartitions have no addable node with a given r…
math.RA2025
Nonsmooth Calabi-Yau structures for algebras and coalgebras
Matt Booth, Joseph Chuang, Andrey Lazarev
We show that generalised Calabi-Yau dg (co)algebras are Koszul dual to generalised symmetric dg (co)algebras, without needing to assume any smoothness or properness hypotheses. Sim…
math.KT2024
Cohomology of Lie coalgebras
Joseph Chuang, Andrey Lazarev, Yunhe Sheng +1
A Koszul duality-type correspondence between coderived categories of conilpotent differential graded Lie coalgebras and their Chevalley-Eilenberg differential graded algebras is es…