AN EXAMPLE OF THE JANTZEN FILTRATION OF A D-MODULE

被引：0

作者：

Bohun, Simon ^{[1
]}

Romanov, Anna ^{[2
]}

机构：

[1] Univ Utah, 201 Presidents Cir, Salt Lake City, UT 84112 USA

[2] Univ New South Wales, Sydney, NSW 2033, Australia

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2024年

关键词：

representations of complex Lie algebras; Whittaker modules; Jantzen filtration; Beilinson-Bernstein localisation; monodromic D-modules;

D O I：

10.1017/S1446788724000168

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We compute the Jantzen filtration of a D-module on the flag variety of SL (2) (C ). At each step in the computation, we illustrate the sl(2)(C)-module structure on global sections to give an algebraic picture of this geometric computation. We conclude by showing that the Jantzen filtration on the D-module agrees with the algebraic Jantzen filtration on its global sections, demonstrating a famous theorem of Beilinson and Bernstein.

引用

页数：32

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