Character orthogonality for the partition algebra and fixed points of permutations

DOI10.1016/S0196-8858(02)00555-9zbMath1020.05073MaRDI QIDQ1408284

John Farina, Thomas Halverson

Publication date: 15 September 2003

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

zbMATH Keywords

characterrepresentationsymmetric groupset partitionjoint moments

Mathematics Subject Classification ID

Partitions of sets (05A18)

Related Items

Walks on graphs and their connections with tensor invariants and centralizer algebras, Symmetric functions in noncommuting variables, Set-partition tableaux and representations of diagram algebras, Partition algebras.

Cites Work

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• The cycle structure of random permutations
• Algebras in higher-dimensional statistical mechanics -- the exceptional partition (mean field) algebras
• A `second orthogonality relation' for characters of Brauer algebras
• The partition algebra revisited
• The structure of the partition algebras
• Linear functionals of eigenvalues of random matrices
• TEMPERLEY-LIEB ALGEBRAS FOR NON-PLANAR STATISTICAL MECHANICS — THE PARTITION ALGEBRA CONSTRUCTION
• On the Eigenvalues of Random Matrices
• Characters of the partition algebras.