Category O for Takiff sl2

Category O for Takiff sl2

We investigate various ways to define an analog of Bernstein-Gelfand-Gelfand category O for the nonsemisimple Takiff extension of the Lie algebra sl2. We describe Gabriel quivers for blocks of these analogs of category O and prove the extension fullness of one of them in the category of all modules.

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Veröffentlicht in:Journal of mathematical physics 2019-11, Vol.60 (11)
Hauptverfasser: Mazorchuk, Volodymyr, Söderberg, Christoffer
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Sprache:eng
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Lie groups
Physics
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creator Mazorchuk, Volodymyr
Söderberg, Christoffer
description We investigate various ways to define an analog of Bernstein-Gelfand-Gelfand category O for the nonsemisimple Takiff extension of the Lie algebra sl2. We describe Gabriel quivers for blocks of these analogs of category O and prove the extension fullness of one of them in the category of all modules.
doi_str_mv 10.1063/1.5121236
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subjects Lie groups
Physics
title Category O for Takiff sl2
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