Factorization of symmetric polynomials

Vadim Kuznetsov; Evgeni Sklyanin; Vadim Kuznetsov; Siddhartha Sahi

Factorization of symmetric polynomials

Vadim Kuznetsov, Evgeni Sklyanin, Vadim Kuznetsov (Editor), Siddhartha Sahi (Editor)

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Other chapter contribution

Abstract

We construct linear operators factorizing the three bases of symmetric polynomials: monomial symmetric functions m(x), elementary symmetric polynomials E(x), and Schur functions s(x), into products of univariate polynomials.

Original language	English
Title of host publication	Jack, Hall-Littlewoood and Macdonald Polynomials
Publisher	American Mathematical Society
Pages	239-256
Number of pages	18
Volume	417
ISBN (Electronic)	978-0-8218-3683-5
Publication status	Published - 2006

Publication series

Name	Contemporary Mathematics
Publisher	American Mathematical Society

Access to Document

http://www.ams.org/bookstore-getitem/item=CONM-417

Cite this

@inbook{545059c2731342488b74ad662c5459e7,

title = "Factorization of symmetric polynomials",

abstract = "We construct linear operators factorizing the three bases of symmetric polynomials: monomial symmetric functions m(x), elementary symmetric polynomials E(x), and Schur functions s(x), into products of univariate polynomials.",

author = "Vadim Kuznetsov and Evgeni Sklyanin and Vadim Kuznetsov and Siddhartha Sahi",

year = "2006",

language = "English",

volume = "417",

series = "Contemporary Mathematics",

publisher = "American Mathematical Society",

pages = "239--256",

booktitle = "Jack, Hall-Littlewoood and Macdonald Polynomials",

address = "United States",

}

TY - CHAP

T1 - Factorization of symmetric polynomials

AU - Kuznetsov, Vadim

AU - Sklyanin, Evgeni

A2 - Kuznetsov, Vadim

A2 - Sahi, Siddhartha

PY - 2006

Y1 - 2006

N2 - We construct linear operators factorizing the three bases of symmetric polynomials: monomial symmetric functions m(x), elementary symmetric polynomials E(x), and Schur functions s(x), into products of univariate polynomials.

AB - We construct linear operators factorizing the three bases of symmetric polynomials: monomial symmetric functions m(x), elementary symmetric polynomials E(x), and Schur functions s(x), into products of univariate polynomials.

M3 - Other chapter contribution

VL - 417

T3 - Contemporary Mathematics

SP - 239

EP - 256

BT - Jack, Hall-Littlewoood and Macdonald Polynomials

PB - American Mathematical Society

ER -