Critical groups of group representations

DOI10.1016/j.laa.2016.07.001zbMath1346.05298arXiv1606.00798OpenAlexW2418812846MaRDI QIDQ307813

Christian Gaetz

Publication date: 5 September 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.00798

zbMATH Keywords

group representationcritical groupchip firingsandpile groupabelian sandpile model

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Ordinary representations and characters (20C15) Matrices of integers (15B36)

Related Items (8)

Differential posets, Cayley graphs, and critical groups ⋮ Tensor product Markov chains ⋮ Critical groups for Hopf algebra modules ⋮ Chip firing on Dynkin diagrams and McKay quivers ⋮ Dual graded graphs and Bratteli diagrams of towers of groups ⋮ Differential posets and restriction in critical groups ⋮ Enumerating linear systems on graphs ⋮ Eigenvalues and critical groups of Adinkras

Cites Work

• Chip firing on Dynkin diagrams and McKay quivers
• Smith normal form in combinatorics
• Smith normal form and Laplacians
• A combinatorial interpretation for the coefficients in the Kronecker product \(s_{(n-p,p)} \ast s_\lambda\)
• The Smith normal form of a matrix associated with Young’s lattice
• Unnamed Item

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