Bruhat intervals and parabolic cosets in arbitrary Coxeter groups

DOI10.1016/j.jalgebra.2022.09.023OpenAlexW4302306752MaRDI QIDQ2097237

Mario Marietti

Publication date: 11 November 2022

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

Full work available at URL: https://arxiv.org/abs/2205.07733

zbMATH Keywords

Coxeter groupsBruhat orderparabolic cosets

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Algebraic combinatorics (05E99)

Cites Work

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• Special matchings in Coxeter groups
• The combinatorial invariance conjecture for parabolic Kazhdan-Lusztig polynomials of lower intervals
• A simple characterization of special matchings in lower Bruhat intervals
• BGG complexes in singular blocks of category \(\mathcal{O}\)
• Special matchings and Kazhdan-Lusztig polynomials
• Special matchings and parabolic Kazhdan–Lusztig polynomials
• Combinatorics of Coxeter Groups
• Towards combinatorial invariance for Kazhdan-Lusztig polynomials