23 citations · 70 across the 23 of their papers we have counts for
5 papers · 1 filter
Translated simple modules for Lie algebras and simple supermodules for Lie superalgebras
Chih-Whi Chen, Kevin Coulembier, Volodymyr Mazorchuk
We prove that the tensor product of a simple and a finite dimensional -module has finite type socle. This is applied to reduce classification of simple $\mathfrak{…
Extreme representations of semirings
Chih-Whi Chen, Brendan Frisk Dubsky, Helena Jonsson +4
This is a write-up of the discussions during the meetings of the study group on representation theory of semirings which was organized at the Department of Mathematics, Uppsala Uni…
The primitive spectrum and category O for the periplectic Lie superalgebra
Chih-Whi Chen, Kevin Coulembier
We solve two problems in representation theory for the periplectic Lie superalgebra pe(n), namely the description of the primitive spectrum in terms of functorial realisations of t…
Simple supermodules over Lie superalgebras
Chih-Whi Chen, Volodymyr Mazorchuk
We show that, for many Lie superalgebras admitting a compatible -grading, Kac induction functor gives rise to a bijection between simple supermodules over a Lie superal…
Projective modules over classical Lie algebras of infinite rank in the parabolic category
Chih-Whi Chen, Ngau Lam
We study the truncation functors and show the existence of projective cover of each irreducible module in parabolic BGG category over infinite rank Lie algebra of type…