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On reflection length in reflection groups

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Publication:1818242
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DOI10.1007/s000130050404zbMath0939.20054OpenAlexW1987082139MaRDI QIDQ1818242

Gustav Isaac Lehrer, Robert B. Howlett

Publication date: 4 July 2000

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000130050404


zbMATH Keywords

Weyl groupsparabolic subgroupsfinite Coxeter groupsroot systemsreflection groupsconnected reductive groupsreflection lengths


Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)


Related Items (3)

Reflection ordering on the group \(G(m,m,n)\). ⋮ An algebraic view of bacterial genome evolution ⋮ An upper bound for reflection length in Coxeter groups






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