Modular elements in the lattice \(L(A)\) when \(A\) is a real reflection arrangement.

DOI10.1016/S0012-365X(98)00134-4zbMath1061.05512OpenAlexW2165794307MaRDI QIDQ1584465

Hélène Barcelo, Edwin C. Ihrig

Publication date: 2 November 2000

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0012-365x(98)00134-4

zbMATH Keywords

hyperplanesparabolic subgroupreal reflection group

Mathematics Subject Classification ID

Series and lattices of subgroups (20D30) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)

Related Items

The absolute order of a permutation representation of a Coxeter group, The order dimension of the poset of regions in a hyperplane arrangement., A geometric interpretation of the characteristic polynomial of reflection arrangements

Cites Work

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• Modular elements of geometric lattices
• Supersolvable lattices
• Algebraic groups and modular Lie algebras