Semifinite harmonic functions on the Gnedin-Kingman graph
Combinatorics
2021-03-10 v2 Operator Algebras
Representation Theory
Abstract
We study the Gnedin-Kingman graph, which corresponds to Pieri's rule for the monomial basis in the algebra of quasisymmetric functions. The paper contains a detailed announcement of results concerning the classification of indecomposable semifinite harmonic functions on the Gnedin-Kingman graph. For these functions, we also establish a multiplicativity property, which is an analog of the Vershik-Kerov ring theorem.
Cite
@article{arxiv.2103.02257,
title = {Semifinite harmonic functions on the Gnedin-Kingman graph},
author = {Nikita Safonkin},
journal= {arXiv preprint arXiv:2103.02257},
year = {2021}
}
Comments
Russian version was published in Zapiski Nauchnykh Seminarov POMI