Differential operators and weighted isobaric polynomials

被引：7
|
作者：
Machenry, Trueman [1 ]
Tudose, Geanina
机构：
[1] York Univ, Dept Math & Stat, N York, ON M3J 1P3, Canada
[2] Fields Inst, Toronto, ON M5T 3J1, Canada
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2006年 / 36卷 / 06期
关键词：
symmetric functions; isobaric polynomials; differential operators;
D O I：
10.1216/rmjm/1181069355
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We characterize those sequences of weighted isobaric polynomials which belong to the kernel of the linear operator D-11 - Sigma(k)(j=1) a(j)t(j)D(2j) - mD(2), m >= 1, k >= 2, and we characterize those linear operators of this form which have a nonzero kernel in terms of the coefficients a(j).
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页码：1957 / 1976
页数：20
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