Enhanced nilHecke algebras and baby Verma modules

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 sl2 on the Grothendieck group, which is isomorphic to a baby Verma module. We upgrade the derivation into an action of the Lie algebra sl(2).

v2, accepted for publication in Tunis. J. Math. v1, 41 pages, Comments welcome

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