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math.RT2026
Quantization of nilpotent coadjoint -orbit closures in positive characteristics
Filippo Ambrosio, Lewis Topley, Matthew Westaway
Let be a reductive group over an algebraically closed field of positive characteristic , good for the root system of . The closures of -orbits in the Hilbert nullcone…
math.RT2026
Sheets, Jordan classes and induced orbits in the exotic and enhanced modules
Filippo Ambrosio, Giovanna Carnovale, Francesco Esposito +2
Kato developed an exotic Deligne-Langlands correspondence using a geometric model for the multiparameter affine Hecke algebra of type C, based on his exotic nilpotent cone. Achar-H…
math.RT2025
Shifted twisted Yangians and Slodowy slices in classical Lie algebras
Lukas Tappeiner, Lewis Topley
In this paper we introduce the shifted twisted Yangian of type {\sf AI}, following the work of Lu--Wang--Zhang, and we study their semiclassical limits, a class of Poisson algebras…