Quadratic linear algebras associated with factorizations of noncommutative polynomials and noncommutative differential polynomials

Israel Gelfand; Vladimir Retakh; Robert Lee Wilson

doi:https://doi.org/10.1007/s00029-001-8096-5

Quadratic linear algebras associated with factorizations of noncommutative polynomials and noncommutative differential polynomials

Israel Gelfand, Vladimir Retakh, Robert Lee Wilson

School of Arts and Sciences, Mathematics

Rutgers, The State University

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

29 Scopus citations

Abstract

We study certain quadratic and quadratic linear algebras related to factorizations of noncommutative polynomials and differential polynomials. Such algebras possess a natural derivation and give us a new understanding of the nature of noncommutative symmetric functions.

Original language	American English
Pages (from-to)	493-523
Number of pages	31
Journal	Selecta Mathematica, New Series
Volume	7
Issue number	4
DOIs	https://doi.org/10.1007/s00029-001-8096-5
State	Published - 2001

ASJC Scopus subject areas

Mathematics(all)
Physics and Astronomy(all)

Keywords

Differential polynomials
Noncommutative polynomials
Quadratic linear algebras

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https://doi.org/10.1007/s00029-001-8096-5

Cite this

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title = "Quadratic linear algebras associated with factorizations of noncommutative polynomials and noncommutative differential polynomials",

abstract = "We study certain quadratic and quadratic linear algebras related to factorizations of noncommutative polynomials and differential polynomials. Such algebras possess a natural derivation and give us a new understanding of the nature of noncommutative symmetric functions.",

keywords = "Differential polynomials, Noncommutative polynomials, Quadratic linear algebras",

author = "Israel Gelfand and Vladimir Retakh and Wilson, {Robert Lee}",

note = "Funding Information: ∗ Partially supported by the National Science Foundation.",

year = "2001",

doi = "https://doi.org/10.1007/s00029-001-8096-5",

language = "American English",

volume = "7",

pages = "493--523",

journal = "Selecta Mathematica, New Series",

issn = "1022-1824",

publisher = "Birkhauser Verlag Basel",

number = "4",

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TY - JOUR

T1 - Quadratic linear algebras associated with factorizations of noncommutative polynomials and noncommutative differential polynomials

AU - Gelfand, Israel

AU - Retakh, Vladimir

AU - Wilson, Robert Lee

N1 - Funding Information: ∗ Partially supported by the National Science Foundation.

PY - 2001

Y1 - 2001

N2 - We study certain quadratic and quadratic linear algebras related to factorizations of noncommutative polynomials and differential polynomials. Such algebras possess a natural derivation and give us a new understanding of the nature of noncommutative symmetric functions.

AB - We study certain quadratic and quadratic linear algebras related to factorizations of noncommutative polynomials and differential polynomials. Such algebras possess a natural derivation and give us a new understanding of the nature of noncommutative symmetric functions.

KW - Differential polynomials

KW - Noncommutative polynomials

KW - Quadratic linear algebras

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U2 - https://doi.org/10.1007/s00029-001-8096-5

DO - https://doi.org/10.1007/s00029-001-8096-5

M3 - Article

SN - 1022-1824

VL - 7

SP - 493

EP - 523

JO - Selecta Mathematica, New Series

JF - Selecta Mathematica, New Series

IS - 4

ER -

Quadratic linear algebras associated with factorizations of noncommutative polynomials and noncommutative differential polynomials

Abstract

ASJC Scopus subject areas

Keywords

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