The Principal Symbol of Elliptic Differential Operators on Lie Groups and Homogeneous Spaces

被引：0

作者：

Cardona, Alexander ^{[1
]}

Cobos, Santiago Gomez ^{[2
]}

机构：

[1] Univ Los Andes, Dept Matemat, Bogota, Colombia

[2] Univ Ghent, Dept Math Anal Log & Discrete Math, Ghent, Belgium

来源：

EXTENDED ABSTRACTS MWCAPDE 2023 | 2024年 / 1卷

关键词：

D O I：

10.1007/978-3-031-41665-1_2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We associate a principal symbol with elliptic differential operators acting on sections of vector fibrations over Lie groups and homogeneous spaces. This principal symbol is an element in the ring of virtual representations of the group, and, in particular instances, we show that it gives insights on the computation of spectral invariants linked to this type of operators.

引用

页码：13 / 22

页数：10

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