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

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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.

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  1. Department of Mathematics, Rutgers University, 110 Frelinghuysen Road, Piscataway,¶ NJ 08854-8019, USA, e-mail:¶ igelfand@math.rutgers.edu,¶ vretakh@math.rutgers.edu,¶ rwilson@math.rutgers.edu, , , , , , US

    I. Gelfand, V. Retakh & R. L. Wilson

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  1. I. Gelfand
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  2. V. Retakh
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  3. R. L. Wilson
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Gelfand, I., Retakh, V. & Wilson, R. Quadratic linear algebras associated with factorizations of noncommutative polynomials and noncommutative differential polynomials. Sel. math., New ser. 7, 493–523 (2001). https://doi.org/10.1007/s00029-001-8096-5

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

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