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تسجيل مستخدم جديدCategory O for Takiff sl_2
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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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