Dimension-independent statistics of 𝐺𝑙_{𝑛}(𝔽_{𝕢}) via character polynomials

DOI10.1090/proc/14781zbMath1431.20034arXiv1803.04155OpenAlexW2965394256MaRDI QIDQ5212410

Nir Gadish

Publication date: 29 January 2020

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

Full work available at URL: https://arxiv.org/abs/1803.04155

zbMATH Keywords

size-independent statistics of finite general linear groups

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Probabilistic methods in group theory (20P05) Combinatorial aspects of groups and algebras (05E16)

Related Items (1)

Product expansions of \(q\)-character polynomials

Cites Work

• On the distribution of the number of fixed vectors for the finite classical groups
• Categories of FI type: a unified approach to generalizing representation stability and character polynomials
• Random matrix theory over finite fields
• Representation stability in cohomology and asymptotics for families of varieties over finite fields

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