Reflection length in the general linear and affine groups

DOI10.1080/00927872.2021.1964515zbMath1505.20045arXiv1803.03070OpenAlexW3196985994MaRDI QIDQ5072757

Elise Delmas, Joel Brewster Lewis

Publication date: 4 May 2022

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

Full work available at URL: https://arxiv.org/abs/1803.03070

zbMATH Keywords

general linear groupgeneral affine groupreflection lengthreflection factorization

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Linear algebraic groups over finite fields (20G40) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Cites Work

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• Absolute order in general linear groups
• On the conjugacy classes in the unitary, symplectic and orthogonal groups
• On the Decomposition of Orthogonalities into Symmetries
• Computing reflection length in an affine Coxeter group

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