3 papers
math.RT2026
Diagrammatic Okada monoid and cellularity of the Okada algebra
Florent Hivert, Jeanne Scott
It is well known that the Young lattice is the Bratelli diagram of the symmetric groups, expressing how irreducible representations restrict from to $\mathfrak{S…
math.PR2024
Random Fibonacci Words via Clone Schur Functions
Leonid Petrov, Jeanne Scott
We study positivity and probabilistic properties arising from the Young--Fibonacci lattice , a 1-differential poset on binary (Fibonacci) words of 1's and 2's, graded…
math.RT2024
Diagram model for the Okada algebra and monoid
Florent Hivert, Jeanne Scott
It is well known that the Young lattice is the Bratelli diagram of the symmetric groups expressing how irreducible representations restrict from to . In 1988, Stanle…