Category O for Takiff sl(2)
investigate various ways to define an analog of Bernstein-Gelfand-Gelfand category O for the nonsemisimple Takiff extension of the Lie algebra sl(2). 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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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | investigate various ways to define an analog of Bernstein-Gelfand-Gelfand category O for the nonsemisimple Takiff extension of the Lie algebra sl(2). 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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| DOI: | 10.1063/1.5121236 |