Enhanced nilHecke algebras and baby Verma modules

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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Publication Details

Journal
Tunisian Journal of Mathematics
Published
2025-03-07
DOI
https://doi.org/10.2140/tunis.2025.7.91
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
0.00
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article

Enhanced nilHecke algebras and baby Verma modules

Pedro Vaz, Elia Rizzo
Tunisian Journal of Mathematics
Algebraic structures and combinatorial models
article

Enhanced nilHecke algebras and baby Verma modules

Pedro Vaz, Elia Rizzo
article en

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).

Tunisian Journal of MathematicsVol. 7(1)
UCLouvain (BE)
Openalex Percentile: Top 92%
Algebraic structures and combinatorial models
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Enhanced nilHecke algebras and baby Verma modules — Pedro Vaz, Elia Rizzo · Tunisian Journal of Mathematics (2025) | TGRS Research Map | TGRS