A GENERALIZED NEWTON-GIRARD FORMULA FOR MONOMIAL SYMMETRIC POLYNOMIALS

被引:6
|
作者
Chamberlin, Samuel [1 ]
Rafizadeh, Azadeh [2 ]
机构
[1] Park Univ, Dept Math & Stat, Parkville, MO 64152 USA
[2] William Jewell Coll, Dept Math & Data Sci, Liberty, MO USA
关键词
symmetric polynomials; Newton-Girard formula;
D O I
10.1216/rmj.2020.50.941
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The Newton-Girard Formula allows one to write any elementary symmetric polynomial as a sum of products of power sum symmetric polynomials and elementary symmetric polynomials of lesser degree. It has numerous applications. We have generalized this identity by replacing the elementary symmetric polynomials with monomial symmetric polynomials. Our formula has an application in the field of Lie algebras.
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页码:941 / 946
页数:6
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