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).
Authors
- Pedro Vaz (ORCID: https://orcid.org/0000-0001-9422-4707)
- Elia Rizzo
Institutions
- UCLouvain (BE)
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