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Enhanced nilHecke algebras and baby Verma modules

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Dos Santos Santana Forte Vaz, Pedro [UCL] Rizzo, Elia [UCL]

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).

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès libre
Publication date 2025
Language Anglais
Journal information "Tunisian Journal of Mathematics" - Vol. 7, no. 1, p. 91-130 (2025)
Peer reviewed yes
Publication status Publié
Affiliation UCL - SST/IRMP - Institut de recherche en mathématique et physique
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Bibliographic reference Dos Santos Santana Forte Vaz, Pedro ; Rizzo, Elia. Enhanced nilHecke algebras and baby Verma modules. In: Tunisian Journal of Mathematics, Vol. 7, no. 1, p. 91-130 (2025)
Permanent URL http://hdl.handle.net/2078.1/277182