Abstract

We define a derivation on the enhanced nilHecke algebra yielding a $p$-dg algebra when working over a field of characteristic $p$. We define functors on the category of $p$-dg modules resulting in an action of small quantum ${\mathfrak{𝔰}\mathfrak{𝔩}}_2$ on the Grothendieck group, which is isomorphic to a baby Verma module. We upgrade the derivation into an action of the Lie algebra ${\int <!--FUNCTION\; APPLICATION-->\updownarrow }_2$.

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