Representations of 2-transitive topological groups

2017/02/04 by Robert A. Bekes, Bekes, Robert A.
Mathematics · #22A25 (Primary) 43A65 (Secondary) #Advanced Topics in Algebra #Advanced Topology and Set Theory #FOS: Mathematics #Functional Analysis (math.FA) #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1702.01351

openalex publication_date 2017/02/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An analogue of Burnside's Lemma for 2-transitive groups is shown to hold for a class of topological groups. If the group is compact the representation is finite and splits into an irreducible and the constant functions. If both the group and representation space are noncompact the representation is irreducible

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