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math.RT2020
Representation theory of a semisimple extension of the Takiff superalgebra
Shun-Jen Cheng, Kevin Coulembier
We study a semisimple extension of a Takiff superalgebra which turns out to have a remarkably rich representation theory. We determine the blocks in both the finite-dimensional and…
math.RT2020
Some homological properties of ind-completions and highest weight categories
Kevin Coulembier
We demonstrate equivalence between two definitions of lower finite highest weight categories. We also show that, in the presence of a duality, a lower finite highest weight structu…