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math.QA2018
On Hopf algebras with triangular decomposition
Cristian Vay
In this survey, we first review some known results on the representation theory of algebras with triangular decomposition, including the classification of the simple modules. We th…
math.RT2018
Mixed perverse sheaves on flag varieties of Coxeter groups
Pramod N. Achar, Simon Riche, Cristian Vay
In this paper we construct an abelian category of "mixed perverse sheaves" attached to any realization of a Coxeter group, in terms of the associated Elias-Williamson diagrammatic…