On different models of representations of the infinite symmetric group.

DOI10.1016/j.aam.2005.09.007zbMath1149.20013OpenAlexW2076509432MaRDI QIDQ867915

Anatoly M. Vershik, Natalia V. Tsilevich

Publication date: 19 February 2007

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2005.09.007

zbMATH Keywords

Fourier transforminfinite symmetric groupfinite factor representationstwo-row representationsYoung bitableaux

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of infinite symmetric groups (20C32)

Related Items

Description of the characters and factor representations of the infinite symmetric inverse semigroup. ⋮ Combinatorial encoding of Bernoulli schemes and the asymptotic behavior of Young tableaux ⋮ Finite traces and representations of the group of infinite matrices over a finite field ⋮ On the behaviour of the periodic Coxeter Laplacian in some representations related to the antiferromagnetic asymptotic mode and continual limits ⋮ Z-measures on partitions related to the infinite Gelfand pair \((S(2\infty ),H(\infty ))\)

Cites Work

• A realization of the irreducible representations of \(S_n\) corresponding to 2-row diagrams in the space of square-free symmetric forms.
• A groupoid approach to C*-algebras
• Representations of \(AF\)-algebras and of the group \(U(\infty)\)
• The representation theory of the symmetric groups
• Asymptotic theory of characters of the symmetric group
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