The parabolic map

DOI10.1006/jabr.1998.7687zbMath0922.20048OpenAlexW1995140769MaRDI QIDQ1283257

Losonczy, Jozsef, Sara C. Billey, C. Kenneth Fan

Publication date: 26 May 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7687

zbMATH Keywords

parabolic subgroupsCoxeter groupsBruhat orderlengths of elements

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items

Pattern characterization of rationally smooth affine Schubert varieties of type \(A\) ⋮ One-skeleton posets of Bruhat interval polytopes ⋮ Self-dual intervals in the Bruhat order ⋮ Artin group injection in the Hecke algebra for right-angled groups ⋮ Special idempotents and projections ⋮ Pattern avoidance and rational smoothness of Schubert varieties ⋮ Smoothness of Schubert varieties via patterns in root subsystems

Cites Work

• Factoring the Poincaré polynomials for the Bruhat order on \(S_n\)
• Pattern avoidance and rational smoothness of Schubert varieties
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