Invariant Krein subspaces, regular irreducibility and integral representations

2008/03/27 by Xavier Mary, Mary, Xavier
Mathematics · #46C20 #47A15 #Advanced Algebra and Geometry #FOS: Mathematics #Functional Analysis (math.FA) #Geometric and Algebraic Topology #Representation Theory (math.RT) #Spectral Theory in Mathematical Physics #math.FA #math.RT #msc:46C20 #msc:47A15

paper · pdf · doi:10.48550/arxiv.0803.3961

27 pages

arxiv created 2008/03/27 · openalex publication_date 2008/03/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study unitary representations of groups in Krein spaces, irreducibility criteria and integral decompositions. Our main tool is the theory of Krein subspaces and their (reproducing) kernels and a variant of Choquet's theorem.

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