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Heat kernel, large-time behavior, and representation theory

2025/03/01 by Shu Shen, Yanli Song, Shen, Shu +3
Computer Science · #Neural Networks and Applications

paper · pdf · doi:10.48550/arxiv.2503.00554

Abstract

Given a real reductive group G, the purpose of this paper is to show an asymptotic formula of the large-time behavior of the G-trace of the heat operator on the associated symmetric spaces. Together with Carmona's proof on Vogan's lambda map, our results provide a geometric counterpart of Vogan's minimal K-type theory.

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