2024/11/25 by V. K. Dobrev, Dobrev, V. K.
Mathematics · #Advanced Algebra and Geometry #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Representation Theory (math.RT) #advanced mathematical theories
paper · pdf · doi:10.48550/arxiv.2411.16432
openalex publication_date 2024/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.