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arXiv · 2308.01950

Enhanced nilHecke algebras and baby Verma modules

Elia Rizzo·Pedro Vaz
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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).

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BibTeXRIS

Elia Rizzo, Pedro Vaz. 2023-08-03. Enhanced nilHecke algebras and baby Verma modules. https://doi.org/10.2140/tunis.2025.7.91

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