2000 character limit reached
Semifinite harmonic functions on the Gnedin-Kingman graph (2103.02257v2)
Published 3 Mar 2021 in math.CO, math.OA, and math.RT
Abstract: We study the Gnedin-Kingman graph, which corresponds to Pieri's rule for the monomial basis ${M_{\lambda}}$ in the algebra $\mathrm{QSym}$ 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.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.