Closed product formulas for certain \(R\)-polynomials

DOI10.1006/eujc.2001.0536zbMath0990.05139OpenAlexW2030782914MaRDI QIDQ1348768

Mario Marietti

Publication date: 8 August 2002

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/eujc.2001.0536

zbMATH Keywords

Coxeter groupsKazhdan-Lusztig polynomials\(R\)-polynomials

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (11)

Combinatorial properties of the Temperley-Lieb algebra of a Coxeter group. ⋮ The size of Bruhat intervals between nested involutions in \(S_{n}\) ⋮ Kazhdan-Lusztig \(R\)-polynomials of permutations containing a 231 or 312 pattern ⋮ Special matchings and permutations in Bruhat orders. ⋮ Diagrammatics for Kazhdan-Lusztig \(\tilde{R}\)-polynomials ⋮ On 1234-nesting Kazhdan–Lusztig R-polynomials for the symmetric group ⋮ Kazhdan-Lusztig polynomials of Boolean elements ⋮ Parabolic Kazhdan-Lusztig and \(R\)-polynomials for Boolean elements in the symmetric group. ⋮ Formulas for multi-parameter classes of Kazhdan-Lusztig polynomials in \({\mathfrak S}(n)\) ⋮ A Simple Product Formula for Certain Kazhdan-LusztigR-Polynomials ⋮ Boolean elements in Kazhdan-Lusztig theory.

Cites Work

• Representations of Coxeter groups and Hecke algebras
• Kazhdan-Lusztig and \(R\)-polynomials from a combinatorial point of view.
• Unnamed Item

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