Harmonic functions on the branching graph associated with the infinite wreath product of a compact group

DOI10.1215/21562261-2801822zbMath1306.22002OpenAlexW2010141647MaRDI QIDQ482150

Takeshi Hirai, Akihito Hora

Publication date: 19 December 2014

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2115/69829

zbMATH Keywords

Martin boundarycharactersharmonic functionswreath productbranching graph

Mathematics Subject Classification ID

Extensions, wreath products, and other compositions of groups (20E22) Compact groups (22C05) Representations of infinite symmetric groups (20C32) Probabilistic methods in group theory (20P05)

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Projective representations and spin characters of complex reflection groups \(G(m,p,n)\) and \(G(m,p,\infty)\), III. ⋮ Multiple partition structures and harmonic functions on branching graphs

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