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math.RT2023
Equivariant deformation theory for nilpotent slices in symplectic Lie algebras
Filippo Ambrosio, Lewis Topley
The Slodowy slice is a flat Poisson deformation of its nilpotent part, and it was demonstrated by Lehn-Namikawa-Sorger that there is an interesting infinite family of nilpotent orb…
math.RT2023
Category for truncated current Lie algebras
Matthew Chaffe, Lewis Topley
In this paper we study an analogue of the Bernstein--Gelfand--Gelfand category for truncated current Lie algebras attached to a complex semisimple Li…