Type \(A\) molecules are Kazhdan-Lusztig

DOI10.1007/s10801-015-0616-zzbMath1328.05195OpenAlexW1631075740MaRDI QIDQ902953

Michael Chmutov

Publication date: 4 January 2016

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

Full work available at URL: https://doi.org/10.1007/s10801-015-0616-z

zbMATH Keywords

Kazhdan-Lusztig cells\(W\)-graphsIwahori-Hecke algebradual equivalence graphs\(W\)-molecules

Mathematics Subject Classification ID

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

Related Items (4)

Two-row \(W\)-graphs in affine type \(A\) ⋮ Robinson-Schensted correspondence for unit interval orders ⋮ On the Schur expansion of Hall-Littlewood and related polynomials via Yamanouchi words ⋮ Type \(A\) admissible cells are Kazhdan-Lusztig

Cites Work

• A finiteness theorem for W-graphs
• Representations of Coxeter groups and Hecke algebras
• Dual equivalence with applications, including a conjecture of Proctor
• Dual equivalence graphs revisited and the explicit Schur expansion of a family of LLT polynomials
• Permutations, matrices, and generalized Young tableaux
• Admissible 𝑊-graphs
• Type A Molecules are Kazhdan-Lusztig

This page was built for publication: Type \(A\) molecules are Kazhdan-Lusztig