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.

在本文中，我们将不可约Harish-Chandra双模分类，并在圆锥形奇点奇异点的滤波片均不具有E ₈类型的条件下，在完全过滤的圆锥奇点奇异点的量化支持下进行分类。更确切地说，考虑量化𝒜 _⋋与参数⋋。我们证明Harish-Chandra⋋bi _-bimodules类别的最高商\（\ overline {\ mathrm {HC}} \ left（\ mathcal {A} \ lambda \ right）\）嵌入到叶片的代数基群Γ。图像与Γ/ _Γthe的表示重合，其中_Γ⋋是Γ的正常子组，可以组合地从量化参数recovered恢复。作为我们结果的应用，我们在几乎所有情况下均以轨道闭合归一化的几何形状描述了Lusztig商群。