SOME REMARKABLE COMBINATORIAL MATRICES

被引：2
|
作者：
HANLON, P
机构：
[1] Department of Mathematics, University of Michigan, Ann Arbor
来源：
JOURNAL OF COMBINATORIAL THEORY SERIES A | 1992年 / 59卷 / 02期
关键词：
D O I：
10.1016/0097-3165(92)90066-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we describe, in combinatorial terms, some matrices which arise as Laplacians connected to the three-dimensional Heisenberg Lie algebra. We pose the problem of finding the eigenvalues and eigenvectors of these matrices. We state a number of conjectures including the conjecture that all eigenvalues of these matrices are non-negative integers. We determine the eigenvalues and eigenvectors explicitly for an important subclass of these matrices. © 1992.
引用
收藏
页码：218 / 239
页数：22
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