

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 JucysMurphy theory for the Okada algebras
J. Scott^{} ^{} Universidad de los Andes, Bogotá

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

