The möbius function of the lattice of closed subsystems of a root system

DOI10.1080/00927879308824636zbMath0831.20015OpenAlexW2067516405MaRDI QIDQ4696702

Derek F. Holt, D. I. Deriziotis

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1080/00927879308824636

zbMATH Keywords

Weyl groupsMöbius functionscentralizersfinite groups of Lie typeDynkin diagramsirreducible root systemslattices of closed subsystemsnumber of semisimple conjugacy classesroot systems of exceptional type

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Combinatorics of partially ordered sets (06A07) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (3)

On the computation of conjugacy classes of Chevalley groups ⋮ The semisimple conjugacy classes of finite groups of lie type E₆and E₇ ⋮ Finite fields, root systems, and orbit numbers of Chevalley groups

Uses Software

• Maple

Cites Work

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• On the number of conjugacy classes in finite groups of lie type
• Centralizers of Semisimple Elements in the Finite Classical Groups

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