Temperley-Lieb Immanants期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Temperley-Lieb Immanants

Authors:	Brendon Rhoades Mark Skandera

Institution:	(1) Department of Mathematics, XXX, 6188 Bradley Hall Dartmouth College, Hanover, NH 03755-3551, USA

Abstract:	We use the Temperley-Lieb algebra to define a family of totally nonnegative polynomials of the form $\Sigma _{{\upsigma \in S_{n} }} f(\upsigma )x_{{1,\upsigma (1)}} \cdots x_{{n,\upsigma (n)}}$ . The cone generated by these polynomials contains all totally nonnegative polynomials of the form $\Delta _{{J,J' }} (x)\Delta _{{L,L' }} (x) - \Delta _{{I,I' }} (x)\Delta _{{K,K' }} (x)$ , where, $\Delta _{{I,I' }} (x), \ldots ,\Delta _{{K,K' }} (x)$ are matrix minors. We also give new conditions on the sets I,...,K′ which characterize differences of products of minors which are totally nonnegative. Received September 30, 2004

Keywords:	15A15 05E15 20C08
本文献已被 SpringerLink 等数据库收录！