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

• I. Gelfand ^[1] ; V. Retakh ^[1] ; R.L. Wilson ^[1]
  1. [1] Rutgers University

     Rutgers University

     City of New Brunswick, Estados Unidos

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 7, Nº. 4, 2001, págs. 493-523
• Idioma: inglés
• DOI: 10.1007/s00029-001-8096-5
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• Resumen

  • 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.