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arxiv: 1704.08205 · v4 · pith:G4ERTOEDnew · submitted 2017-04-26 · 🧮 math.RT

On 2-Verma modules for quantum mathfrak{sl}₂

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keywords modulesvermamathfrakquantumsuperalgebraakinalgebraauthors
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In this paper we study the superalgebra $A_n$, introduced by the authors in previous work on categorification of Verma modules for quantum $\mathfrak{sl}_2$. The superalgebra $A_n$ is akin to the nilHecke algebra, and shares similar properties. In particular, we prove a uniqueness result about 2-Verma modules on $\Bbbk$-linear 2-categories.

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