Description of the characters and factor representations of the infinite symmetric inverse semigroup.

DOI10.1007/s10688-011-0002-0zbMath1271.20072arXiv1102.4425OpenAlexW2013985583MaRDI QIDQ366277

Anatoly M. Vershik, P. P. Nikitin

Publication date: 12 September 2013

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.4425

zbMATH Keywords

infinite symmetric groupfactor representationsindecomposable charactersinfinite symmetric inverse semigroup

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Inverse semigroups (20M18) Representation of semigroups; actions of semigroups on sets (20M30) Representations of infinite symmetric groups (20C32)

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Semifinite harmonic functions on branching graphs ⋮ Traces on diagram algebras. II: Centralizer algebras of easy groups and new variations of the Young graph ⋮ Asymptotic theory of path spaces of graded graphs and its applications ⋮ Characters of the infinite symmetric inverse semigroup ⋮ \(\mathfrak{sl}(2)\) operators and Markov processes on branching graphs

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• Die unzerlegbaren, positiv-definiten Klassenfunktionen der abzählbar unendlichen, symmetrischen Gruppe
• Representations of Inverse Semi-Groups

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