A Hypergraph with Commuting Partial Laplacians

Canadian mathematical bulletin

关键词: Hecke operators;    buildings;   

DOI  :  10.4153/CMB-2001-039-x

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

Let $F$ be a totally real number field and let $GL_{n}$ be thegeneral linear group of rank $n$ over $F$. Let $mathfrak{p}$be a prime ideal of $F$ and $F_{mathfrak{p}}$ the completion of $F$with respect to the valuation induced by $mathfrak{p}$. We willconsider a finite quotient of the affine building of the group $GL_{n}$ over the field $F_{mathfrak{p}}$. We will view this objectas a hypergraph and find a set of commuting operators whose sum will be the usual adjacency operator of the graph underlying the hypergraph.

【 授权许可】

Unknown