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Rota–Baxter Algebras and New Combinatorial Identities

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Abstract

The word problem for an arbitrary associative Rota–Baxter algebra is solved. This leads to a noncommutative generalization of the classical Spitzer identities. Links to other combinatorial aspects are indicated.

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Authors and Affiliations

  1. Max-Planck-Institut für Mathematik, Vivatsgasse 7, 53111, Bonn, Germany

    Ebrahimi-Fard Kurusch

  2. Departamento de Física Teórica I, Universidad Complutense, Madrid, 28040, Spain

    José M. Gracia-Bondía

  3. Laboratoire J.-A. Dieudonné UMR 6621, CNRS, Parc Valrose, 06108, Nice Cedex 02, France

    Frédéric Patras

Authors
  1. Ebrahimi-Fard Kurusch
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  2. José M. Gracia-Bondía
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  3. Frédéric Patras
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Correspondence to Ebrahimi-Fard Kurusch.

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Kurusch, EF., Gracia-Bondía, J.M. & Patras, F. Rota–Baxter Algebras and New Combinatorial Identities. Lett Math Phys 81, 61–75 (2007). https://doi.org/10.1007/s11005-007-0168-9

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  • DOI: https://doi.org/10.1007/s11005-007-0168-9

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