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# C O ] 2 7 D ec 1 99 7 THE MARTIN BOUNDARY OF THE YOUNG-FIBONACCI LATTICE

@inproceedings{KerovAbstract1997CO, title={C O ] 2 7 D ec 1 99 7 THE MARTIN BOUNDARY OF THE YOUNG-FIBONACCI LATTICE}, author={Sergei V. KerovAbstract}, year={1997} }

- Published 1997

In this paper we find the Martin boundary for the Young-Fibonacci lattice YF. Along with the lattice of Young diagrams, this is the most interesting example of a differential partially ordered set. The Martin boundary construction provides an explicit Poisson-type integral representation of non-negative harmonic functions on YF. The latter are in a canonical correspondence with a set of traces on the locally semisimple Okada algebra. The set is known to contain all the indecomposable traces… CONTINUE READING