arXiv:2411.16432 Abstract | arXiv Analytics

arXiv:2411.16432 [math.RT]Abstract References Reviews Resources

Langlands Duality and Invariant Differential Operators

Published 2024-11-25Version 1

Langlands duality is one of the most influential topics in mathematical research. It has many different appearances and influential subtopics. Yet there is a topic that until now seems unrelated to the Langlands program. That is the topic of invariant differential operators. That is strange since both items are deeply rooted in Harish-Chandra's representation theory of semisimple Lie groups. In this paper we start building the bridge between the two programs.

Comments: 21 pages, 2 figures. arXiv admin note: text overlap with arXiv:1311.7557, arXiv:1208.0409, arXiv:1412.8038

Categories: math.RT, hep-th, math-ph, math.MP, math.QA

Keywords: invariant differential operators, langlands duality, semisimple lie groups, harish-chandras representation theory, influential subtopics

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