Evaluations of Hecke algebra traces at Kazhdan-Lusztig basis elements

zbMath1335.05192MaRDI QIDQ281591

Matthew Hyatt, Brittany Shelton, Samuel Clearman, Mark Skandera

Publication date: 11 May 2016

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v23i2p7

zbMATH Keywords

pattern avoidanceKazhdan-Lusztig basis\(P\)-tableauchromatic quasisymmetric functionHecke algebra traceplanar network

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08)

Related Items (9)

Characters and chromatic symmetric functions ⋮ Generating functions for monomial characters of wreath products ℤ/dℤ≀ 𝕾_n ⋮ Total nonnegativity and induced sign characters of the Hecke algebra ⋮ Chromatic quasisymmetric functions of directed graphs ⋮ Bases of the quantum matrix bialgebra and induced sign characters of the Hecke algebra ⋮ On $e$-Positivity and $e$-Unimodality of Chromatic Quasi-symmetric Functions ⋮ Bases of the quantum matrix bialgebra and induced sign characters of the Hecke algebra ⋮ Total nonnegativity and evaluations of Hecke algebra characters ⋮ Resolving Stanley's \(e\)-positivity of claw-contractible-free graphs

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