Poincaré series for tensor invariants and the McKay correspondence

DOI10.1016/j.aim.2015.11.041zbMath1342.14030arXiv1407.3997OpenAlexW2962761655MaRDI QIDQ908062

Georgia M. Benkart

Publication date: 2 February 2016

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

Full work available at URL: https://arxiv.org/abs/1407.3997

zbMATH Keywords

Poincaré seriesSchur-Weyl dualityMcKay correspondencetensor invariants

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) McKay correspondence (14E16)

Related Items (5)

Walks on graphs and their connections with tensor invariants and centralizer algebras ⋮ A Schur-Weyl duality approach to walking on cubes ⋮ Tensor product Markov chains ⋮ Poincaré series, exponents of affine Lie algebras, and McKay-Slodowy correspondence ⋮ Poincaré series of relative symmetric invariants for \(\operatorname{SL}_n(\mathbb{C})\)

Cites Work

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• Partition algebras.
• Quantum affine Cartan matrices, Poincaré series of binary polyhedral groups, and reflection representations.
• Some remarks on characters of binary polyhedral groups
• Finite subgroups of \(SU_ 2\), Dynkin diagrams and affine Coxeter elements
• Poincaré series of binary polyhedral groups and McKay's correspondence
• Simple singularities and simple algebraic groups
• Poincaré series and monodromy of a two-dimensional quasihomogeneous hypersurface singularity
• The spectrum of a Coxeter transformation, affine Coxeter transformations, and the defect map
• Killing and the Coxeter transformation of Kac-Moody algebras
• Index for subfactors
• The structure of the partition algebras
• Representations of graph Temperley-Lieb algebras
• McKay centralizer algebras
• Construction géométrique de la correspondance de McKay
• On finite subgroups of SU(2), simple Lie algebras, and the McKay correspondence
• Shorter Notes: Cartan Matrices, Finite Groups of Quaternions, and Kleinian Singularities
• Semi-Affine Coxeter-Dynkin Graphs and G ⊆ SU₂(C)
• The partition algebra and the Kronecker coefficients
• Notes on Coxeter Transformations and the McKay Correspondence

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