3 citations · 4 across the 4 of their papers we have counts for
7 papers
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…
Induction and restriction on representations of dihedral groups
Brendan Dubsky
We study the algebras generated by restriction and induction operations on complex modules over dihedral groups. In the case where the orders of all dihedral groups involved are no…
Simple modules over the Lie algebras of divergence zero vector fields on a torus
Brendan Frisk Dubsky, Xianqian Guo, Yufeng Yao +1
Let be an integer, the Weyl algebra over the Laurent polynomial algebra , and the L…
Incidence category of the Young lattice, injections between finite sets, and Koszulity
Brendan Dubsky
We describe the Gabriel quiver with defining relations of the category of injections between finite sets, show that it is quadratic self-dual, and construct linear resolutions for…
Koszulity of some path categories
Brendan Dubsky
We prove Koszulity of certain linear path categories obtained from connected graphs with some infinite directed walk. These categories can be viewed as locally quadratic dual to pr…
Category O for the Schrödinger algebra
Brendan Dubsky, Rencai Lü, Volodymyr Mazorchuk +1
We study category O for the (centrally extended) Schrödinger algebra. We determine the quivers for all blocks and relations for blocks of nonzero central charge. We also describe t…
Classification of simple weight modules with finite-dimensional weight spaces over the Schrödinger algebra
Brendan Dubsky
We classify simple weight modules with finite-dimensional weight spaces over the (centrally extended complex) Schrödinger algebra in (1+1)-dimensional space-time. Our arguments use…