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

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

2000-02-28

arxiv.org/abs/math/0002238v4

Mathematics

Quantum Algebra

30 pages, last revision

Scientific paper

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.

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