Bruhat intervals of length 4 in Weyl groups.

DOI10.1016/S0097-3165(03)00027-XzbMath1060.20036MaRDI QIDQ1873819

Axel Hultman

Publication date: 27 May 2003

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

zbMATH Keywords

symmetric groupsCoxeter groupsBruhat intervalsBruhat orderssimply laced Weyl groups

Mathematics Subject Classification ID

Related Items (8)

Pattern avoidance and the Bruhat order. ⋮ Intersecting principal Bruhat ideals and grades of simple modules ⋮ Bruhat intervals as rooks on skew Ferrers boards ⋮ More on the combinatorial invariance of Kazhdan-Lusztig polynomials ⋮ The maximum number of atoms of Bruhat intervals in the symmetric groups. ⋮ The maximum difference between the number of atoms and number of coatoms of a Bruhat interval of the symmetric group. ⋮ Reduced word manipulation: patterns and enumeration ⋮ On the shape of Bruhat intervals

Uses Software

• coxeter
• posets

Cites Work

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• Posets, regular CW complexes and Bruhat order
• Hyperplane arrangements with a lattice of regions
• Reflection subgroups of Coxeter systems
• Moduln mit einem höchsten Gewicht
• Bruhat order of Coxeter groups and shellability
• A note on subgroups generated by reflections in Coxeter groups
• Kazhdan-Lusztig and \(R\)-polynomials from a combinatorial point of view.

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