scientific article; zbMATH DE number 7203414

zbMath1440.05239MaRDI QIDQ5110953

Georgia M. Benkart, Thomas Halverson

Publication date: 26 May 2020

Full work available at URL: https://dmtcs.episciences.org/6360

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Schur-Weyl dualityTemperley-Lieb algebraDyck pathsMcKay correspondencepartition algebra

Mathematics Subject Classification ID

Graph labelling (graceful graphs, bandwidth, etc.) (05C78) Combinatorial aspects of groups and algebras (05E16)

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• Partition algebras.
• Finite subgroups of \(SU_ 2\), Dynkin diagrams and affine Coxeter elements
• The structure of the partition algebras
• Dimensions of irreducible modules for partition algebras and tensor power multiplicities for symmetric and alternating groups
• McKay centralizer algebras
• The Partition Algebra as a Centralizer Algebra of the Alternating Group

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