Relative symmetric polynomials

M. Shahryari

doi:10.1016/j.laa.2010.05.020

Relative symmetric polynomials

M. Shahryari^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

Abstract

In this article, we introduce the notion of a relative symmetric polynomial with respect to a permutation group and an irreducible character and we give answers for some natural questions about their structures. In order to study symmetric polynomials with respect to linear characters, we define the concept of relative Vandermonde polynomial. Finally, we present some interesting research problems concerning relative symmetric polynomials.

Original language	English
Pages (from-to)	1410-1421
Number of pages	12
Journal	Linear Algebra and Its Applications
Volume	433
Issue number	7
DOIs	https://doi.org/10.1016/j.laa.2010.05.020
Publication status	Published - Dec 1 2010
Externally published	Yes

Keywords

Complex characters
Permutation groups
Symmetric polynomials

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

Access to Document

10.1016/j.laa.2010.05.020

Cite this

@article{47ed1ac186c241118c25be388363fc90,

title = "Relative symmetric polynomials",

abstract = "In this article, we introduce the notion of a relative symmetric polynomial with respect to a permutation group and an irreducible character and we give answers for some natural questions about their structures. In order to study symmetric polynomials with respect to linear characters, we define the concept of relative Vandermonde polynomial. Finally, we present some interesting research problems concerning relative symmetric polynomials.",

keywords = "Complex characters, Permutation groups, Symmetric polynomials",

author = "M. Shahryari",

year = "2010",

month = dec,

day = "1",

doi = "10.1016/j.laa.2010.05.020",

language = "English",

volume = "433",

pages = "1410--1421",

journal = "Linear Algebra and Its Applications",

issn = "0024-3795",

publisher = "Elsevier Inc.",

number = "7",

}

TY - JOUR

T1 - Relative symmetric polynomials

AU - Shahryari, M.

PY - 2010/12/1

Y1 - 2010/12/1

N2 - In this article, we introduce the notion of a relative symmetric polynomial with respect to a permutation group and an irreducible character and we give answers for some natural questions about their structures. In order to study symmetric polynomials with respect to linear characters, we define the concept of relative Vandermonde polynomial. Finally, we present some interesting research problems concerning relative symmetric polynomials.

AB - In this article, we introduce the notion of a relative symmetric polynomial with respect to a permutation group and an irreducible character and we give answers for some natural questions about their structures. In order to study symmetric polynomials with respect to linear characters, we define the concept of relative Vandermonde polynomial. Finally, we present some interesting research problems concerning relative symmetric polynomials.

KW - Complex characters

KW - Permutation groups

KW - Symmetric polynomials

UR - http://www.scopus.com/inward/record.url?scp=77955555961&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77955555961&partnerID=8YFLogxK

U2 - 10.1016/j.laa.2010.05.020

DO - 10.1016/j.laa.2010.05.020

M3 - Article

AN - SCOPUS:77955555961

SN - 0024-3795

VL - 433

SP - 1410

EP - 1421

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 7

ER -

Relative symmetric polynomials

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this