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- W3119202997 abstract "In this paper we classify the irreducible Harish-Chandra bimodules with full support over filtered quantizations of conical symplectic singularities under the condition that none of the slices to codimension 2 symplectic leaves has type E8. More precisely, consider the quantization 𝒜⋋ with parameter ⋋. We show that the top quotient $$ overline{mathrm{HC}}left(mathcal{A}lambda right) $$ of the category of Harish-Chandra 𝒜⋋-bimodules embeds into the category of representations of the algebraic fundamental group, Γ, of the open leaf. The image coincides with the representations of Γ/Γ⋋, where Γ⋋ is a normal subgroup of Γ that can be recovered from the quantization parameter ⋋ combinatorially. As an application of our results, we describe the Lusztig quotient group in terms of the geometry of the normalization of the orbit closure in almost all cases." @default.
- W3119202997 created "2021-01-18" @default.
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- W3119202997 date "2021-01-09" @default.
- W3119202997 modified "2023-10-05" @default.
- W3119202997 title "HARISH-CHANDRA BIMODULES OVER QUANTIZED SYMPLECTIC SINGULARITIES" @default.
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- W3119202997 doi "https://doi.org/10.1007/s00031-020-09638-5" @default.
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