Relations between unitary representations of diffeomorphism groups and those of the infinite symmetric group or of related permutation groups

DOI10.1215/kjm/1250518335zbMath0897.22008OpenAlexW1506546945MaRDI QIDQ1380140

Takeshi Hirai, Hiroaki Shimomura

Publication date: 6 October 1998

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

Full work available at URL: https://doi.org/10.1215/kjm/1250518335

zbMATH Keywords

permutation groupsunitary representationsdiffeomorphism groups

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10) Representations of infinite symmetric groups (20C32)

Related Items (3)

On infinite tensor products of projective unitary representations ⋮ Unitary representations of the group of diffeomorphisms via restricted product measures with infinite mass. II ⋮ Quasi-invariant measures on the group of diffeomorphisms and smooth vectors of unitary representations

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