Enhanced nilHecke algebras and baby Verma modules
(2025) Tunisian Journal of Mathematics — Vol. 7, n° 1, p. 91-130 (2025)
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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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Citations
Dos Santos Santana Forte Vaz, P., & Rizzo, E. (2025). Enhanced nilHecke algebras and baby Verma modules. Tunisian Journal of Mathematics, 7(1), 91-130. https://doi.org/10.2140/tunis.2025.7.91 (Original work published 2025)