Integral expression of some indecomposable characters of the infinite symmetric group in terms of irreducible representations

DOI10.1007/BF01446899zbMath0675.20009MaRDI QIDQ1121987

Nobuaki Obata

Publication date: 1990

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164691

zbMATH Keywords

Young tableauxirreducible representationspositive definite functionsinfinite symmetric groupindecomposable characters

Mathematics Subject Classification ID

Positive definite functions on groups, semigroups, etc. (43A35) Representations of infinite symmetric groups (20C32)

Cites Work

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• Construction of irreducible unitary representations of amalgams of discrete Abelian groups
• The K-functor (Grothendieck group) of the infinite symmetric group
• Zwei Dualräume der unendlichen, symmetrischen Gruppe. (Two dual spaces of the infinite symmetric group)
• Some remarks on induced representations of infinite discrete groups
• New large groups of type I
• Construction of irreducible unitary representations of the infinite symmetric group \({\mathfrak S}_ \infty\)
• Asymptotic theory of characters of the symmetric group
• Die unzerlegbaren, positiv-definiten Klassenfunktionen der abzählbar unendlichen, symmetrischen Gruppe
• On rings of operators. IV
• The Characters of the Infinite Symmetric Group and Probability Properties of the Robinson–Schensted–Knuth Algorithm
• Certain Unitary Representations of the Infinite Symmetric Group, I
• Certain unitary representations of the infinite symmetric group, II
• The Structure of Certain Unitary Representations of Infinite Symmetric Groups

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