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St. Petersburg Seminar on Representation Theory and Dynamical Systems
September 19, 2018 17:00, St. Petersburg, PDMI, room 311 (nab. r. Fontanki, 27)

Towards a Jucys-Murphy theory for the Okada algebras

J. Scott

Abstract: I'll discuss work in progress which aims to construct Jucys-Murphy elements in the Okada algebra $\mathcal{F}_n$ together with a corresponding notion of content for the Young-Fibonacci lattice which encodes the spectrum of the Jucys-Murphy elements with respect to the Fibonacci-Tableau bases for irreducible $\mathcal{F}_n$-representations.