Algebras Associated to the Young-Fibonacci Lattice

DOI10.2307/2154860zbMath0835.05084OpenAlexW4236996446MaRDI QIDQ4321208

Soichi Okada

Publication date: 28 February 1995

Full work available at URL: https://doi.org/10.2307/2154860

zbMATH Keywords

symmetric groupsymmetric functionsirreducible representationsYoung diagramssemisimple algebrasYoung graphBratelli diagramsKostka numbersYoung latticeYoung-Fibonacci latticedifferential posets

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Logical aspects of lattices and related structures (03G10)

Related Items (7)

Hecke algebras with independent parameters. ⋮ Sign balances and promotion order of Young-Fibonacci tableaux ⋮ Enumeration of paths in the Young-Fibonacci graph ⋮ The Martin boundary of the Young-Fibonacci lattice ⋮ Young-Fibonacci insertion, tableauhedron and Kostka numbers ⋮ The automorphism group of the Fibonacci poset: A ``not too difficult problem of Stanley from 1988 ⋮ Record‐dependent measures on the symmetric groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Further combinatorial properties of two Fibonacci lattices
• Generalized Robinson-Schensted-Knuth correspondence
• Hecke algebras of type \(A_ n\) and subfactors
• Association schemes and fusion algebras. (An introduction)
• Centralizer algebras of the mixed tensor representations of quantum group \(U_ q(\text{gl}(n,\mathbb{C}))\)
• Characters of algebras containing a Jones basic construction: The Temperley-Lieb, Okada, Brauer, and Birman-Wenzl algebras
• Differential Posets

This page was built for publication: Algebras Associated to the Young-Fibonacci Lattice