Quantization of Slodowy slices

Victor Ginzburg; Wee Liang Gan

Quantization of Slodowy slices

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arxiv math/0105225 v3 pith:N4DWTCHV submitted 2001-05-28 math.RT math.AGmath.QA

Wee Liang Gan , Victor Ginzburg This is my paper · ORCID

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keywords directequivalencegelfand-graevgeneralizationgeneralizedgivepremetproof

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We give a direct proof of (a slight generalization of) the recent result of A. Premet related to generalized Gelfand-Graev representations and of an equivalence due to Skryabin.

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Lusztig's special pieces conjecture
math.RT 2026-07 conditional novelty 8.0 of 10

Proof of Lusztig's special pieces conjecture: every special nilpotent piece is a quotient of a smooth G-variety by a finite group, with an explicit orbit-closure construction and non-uniqueness of the solution.

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