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A geometric interpretation of Kirillov's Conjecture

2018/06/17 by Gang Liu, Jun Yu, Liu, Gang +1 · 2 citations
Mathematics · #22E46 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebra over a field #Computer science #Conjecture #FOS: Mathematics #Generalization #Geology #History #Holomorphic and Operator Theory #Interpretation (philosophy) #Mathematical analysis #Mathematics #Natural (archaeology) #Pure mathematics #Representation Theory (math.RT) #Series (stratigraphy) #math.RT #msc:22E46

paper · pdf · doi:10.48550/arxiv.1806.06318

published in arXiv (Cornell University) (Cornell University)

openalex publication_date 2018/06/17 · arxiv created 2018/07/20 · arxiv updated 2018/07/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08

Abstract

In this article, we give a natural geometric interpretation of Kirillov's conjecture for tempered representations in the framework of orbit method. This interpretation can also be considered as a first generalization of Duflo's conjecture to non-discrete series representations.

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