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Quantization of Slodowy slices

Wee Liang Gan, Victor Ginzburg · 2001 · math.RT · DOI 10.48550/arxiv.math/0105225 · arXiv math/0105225

1 Pith paper cite this work, alongside 31 external citations. Polarity classification is still indexing.

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abstract

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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math.RT 1

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2026 1

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CONDITIONAL 1

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Lusztig's special pieces conjecture

math.RT · 2026-07-16 · conditional · novelty 8.0

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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  • Lusztig's special pieces conjecture math.RT · 2026-07-16 · conditional · none · ref 35 · internal anchor

    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.