SURVEY ARTICLE

Differential equations and Lie group representations

  • King Fai LAI
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  • School of Mathematics and Statistics, Henan University, Kaifeng 475004, China

Published date: 15 Apr 2022

Copyright

2022 Higher Education Press

Abstract

We discuss the role of differential equations in Lie group representation theory. We use Kashiwara’s pentagon as a reference frame for the real representation theory and then report on some work arising from its p-adic analogue by Emerton, Kisin, Patel, Huyghe, Schmidt, Strauch using Berthelot’s theory of arithmetic D-modules and Schneider–Stuhler theory of sheaves on buildings.

Cite this article

King Fai LAI . Differential equations and Lie group representations[J]. Frontiers of Mathematics in China, 2022 , 17(2) : 171 -225 . DOI: 10.1007/s11464-022-1008-z

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