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) |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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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| ISSN: | 0022-2488 1089-7658 |
| DOI: | 10.1063/1.5121236 |