Abstract
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.
Citation
Samuel Chamberlin. Azadeh Rafizadeh. "A generalized Newton–Girard formula for monomial symmetric polynomials." Rocky Mountain J. Math. 50 (3) 941 - 946, June 2020. https://doi.org/10.1216/rmj.2020.50.941
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