McKay centralizer algebras

DOI10.1112/plms/pdv075zbMath1332.05147arXiv1312.5254OpenAlexW1927082437MaRDI QIDQ2797823

Jeffrey M. Barnes, Thomas Halverson, Georgia M. Benkart

Publication date: 31 March 2016

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.5254

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Ordinary representations and characters (20C15) McKay correspondence (14E16)

Related Items (5)

Walks on graphs and their connections with tensor invariants and centralizer algebras ⋮ Poincaré series for tensor invariants and the McKay correspondence ⋮ Dimensions of irreducible modules for partition algebras and tensor power multiplicities for symmetric and alternating groups ⋮ Unnamed Item ⋮ An in-depth look at quotient modules

Uses Software

• OEIS

Cites Work

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• On centralizer algebras for spin representations
• Partition algebras.
• Finite subgroups of \(SU_ 2\), Dynkin diagrams and affine Coxeter elements
• On the structure of Brauer's centralizer algebras
• Canonical bases in tensor products and graphical calculus for \(U_ q(sl_ 2)\)
• On tensor categories of Lie type \(E_{N}, N\neq 9\)
• The matrix of chromatic joins and the Temperley-Lieb algebra.
• Index for subfactors
• The representation theory of the Temperley-Lieb algebras
• Characters of algebras containing a Jones basic construction: The Temperley-Lieb, Okada, Brauer, and Birman-Wenzl algebras
• The planar rook algebra and Pascal's triangle.
• Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem

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