On Symmetric Polynomials

Preprint English OPEN
Golden, Ryan; Cho, Ilwoo;
(2015)
  • Subject: Mathematics - Rings and Algebras
    acm: ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION

In this paper, we study structure theorems of algebras of symmetric functions. Based on a certain relation on elementary symmetric polynomials generating such algebras, we consider perturbation in the algebras. In particular, we understand generators of the algebras as ... View more
  • References (4)

    [1] Baker, F. B. and Harwell, M. R., Computing Elementary Symmetric Functions and Their Derivatives: A Didactic, Appl. Psycho. Measurement, Vol 20, no. 2, (1996) 169 - 192.

    [2] David, F. N., Kendall, M. G., and Heliotrope, B., ”Symmetric Functions and Allied Tables”, (1966) Cambridge Univ. Press.

    [3] Zhou, J., Introductions to Symmetric Polynomials and Symmetric Functions, Avialable at http://faculty.math.tsinghua.edu.cn/˜jzhou, (2003) Lecture Note.

    Ryan Golden, 536 Carlsbad Tr., Roselle, IL 60172, USA goldenryanm@sau.edu Ilwoo Cho, Dept. of Mathematics, Saint Ambrose University, 518 w. Locust St., Davenport, IA 52803, USA choilwoo@sau.edu

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