Quadratic-linar algebras associated with factorizations of noncommutative polynomials and noncommutative differential polynomials

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This is the first of series of talks presented at a permanent Rutgers workshop on noncommutative algebra and geometry. We study here quadratic and quadratic-linear algebras defined by factorizations of noncommutative polynomials and differential polynomials. Such algebras posses a natural derivation and give us a new understanding of a nature of noncommutative symmetric functions.
30 pages, last revision

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Quantum Algebra, 16W30, 15A15, 05E05

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http://salesiana.dossiersoluciones.com/handle/123456789/58778

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0002238
 http://arxiv.org/abs/math/0002238

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arXiv