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arXiv · 1907.06685

Category O for Takiff sl_2

Volodymyr Mazorchuk·Christoffer Söderberg
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Abstract

We investigate various ways to define an analogue of BGG category $\mathcal{O}$ for the non-semi-simple Takiff extension of the Lie algebra $\mathfrak{sl}_2$. We describe Gabriel quivers for blocks of these analogues of category $\mathcal{O}$ and prove extension fullness of one of them in the category of all modules.

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BibTeXRIS

Volodymyr Mazorchuk, Christoffer Söderberg. 2019-07-15. Category O for Takiff sl_2. https://doi.org/10.1063/1.5121236

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