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arXiv · 2005.11441

Representation theory of a semisimple extension of the Takiff superalgebra

Shun-Jen Cheng·Kevin Coulembier
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Abstract

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 BGG module categories and also classify the Borel subalgebras. We further compute all extension groups between two finite-dimensional simple objects and prove that all non-principal blocks in the finite-dimensional module category are Koszul.

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Shun-Jen Cheng, Kevin Coulembier. 2020-05-23. Representation theory of a semisimple extension of the Takiff superalgebra. https://arxiv.org/abs/2005.11441

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