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تسجيل مستخدم جديد$mathfrak{sl}_2$-Harish-Chandra modules for $mathfrak{sl}_2 ltimes L(4)$
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We use analogues of Enrights and Arkhipovs functors to determine the quiver and relations for a category of $mathfrak{sl}_2 ltimes L(4)$-modules which are locally finite (and with finite multiplicities) over $mathfrak{sl}_2$. We also outline serious obstacles to extend our result to $mathfrak{sl}_2 ltimes L(k)$, for $k>4$.
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