论文标题

分级谎言代数的角色滑轮:稳定等级

Character Sheaves for Graded Lie Algebras: Stable Gradings

论文作者

Vilonen, Kari, Xue, Ting

论文摘要

在本文中,我们为稳定分级的谎言代数构建了全部支撑性轴皮。猜想这些恰恰是尖轴束。与统一根部相关的复杂反射组相关的Hecke代数的不可减至表示。我们通过分析[GVX2]中构建的附近循环束系带的傅立叶变换。

In this paper we construct full support character sheaves for stably graded Lie algebras. Conjecturally these are precisely the cuspidal character sheaves. Irreducible representations of Hecke algebras associated to complex reflection groups at roots of unity enter the description. We do so by analysing the Fourier transform of the nearby cycle sheaves constructed in [GVX2].

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