On the modular McKay graph of \(\mathrm{SL}_n(p)\) with respect to its standard representation

DOI10.1016/j.jalgebra.2021.01.023zbMath1473.20021arXiv2102.00712OpenAlexW3127068626MaRDI QIDQ1998935

Miriam G. Norris

Publication date: 9 March 2021

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.00712

zbMATH Keywords

irreducible representationsmodular representationsdiameter of graphsMcKay graphsmodular McKay graphs

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Cites Work

• Unnamed Item
• The submodule structure of certain Weyl modules for groups of type \(A_ n\)
• On the diameters of McKay graphs for finite simple groups
• Tensor product Markov chains
• Convergence rates of random walk on irreducible representations of finite groups
• On Translation Functors for General Linear and Symmetric Groups
• A Note on Theorems of Burnside and Blichfeldt

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