Special matchings and parabolic Kazhdan–Lusztig polynomials

DOI10.1090/tran6676zbMath1331.05232arXiv1502.06380OpenAlexW2151877700MaRDI QIDQ2790656

Mario Marietti

Publication date: 7 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.06380

zbMATH Keywords

Coxeter groupsKazhdan-Lusztig polynomialsspecial matchings

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Combinatorial aspects of groups and algebras (05E16)

Related Items

Special matchings calculate the parabolic Kazhdan-Lusztig polynomials of the universal Coxeter groups ⋮ The combinatorial invariance conjecture for parabolic Kazhdan-Lusztig polynomials of lower intervals ⋮ A simple characterization of special matchings in lower Bruhat intervals ⋮ Pircon kernels and up-down symmetry ⋮ A twisted duality for parabolic Kazhdan-Lusztig \(R\)-polynomials ⋮ Special matchings in Coxeter groups ⋮ Kazhdan-Lusztig \(R\)-polynomials for pircons ⋮ Bruhat intervals and parabolic cosets in arbitrary Coxeter groups

Cites Work

• The Hodge theory of Soergel bimodules.
• Special matchings in Coxeter groups
• On some geometric aspects of Bruhat orderings. II: The parabolic analogue of Kazhdan-Lusztig polynomials
• Representations of Coxeter groups and Hecke algebras
• Some characterizations of Bruhat ordering on a Coxeter group and determination of the relation Möbius function
• Special matchings and Kazhdan-Lusztig polynomials
• Combinatorics of Coxeter Groups
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