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Article Dans Une Revue Gazette des Mathématiciens Année : 2013

La structure combinatoire du calcul intégral.

Kurusch Ebrahimi-Fard
  • Fonction : Auteur
Frederic Patras

Résumé

Gian-Carlo Rota suggested in one of his last articles the problem of developing a theory around the notion of integration algebras, complementary to the already existing theory of differential algebras. This idea was mainly motivated by Rota's deep appreciation for Kuo-Tsai Chen's seminal work on iterated integrals. As a starting point for such a theory of integration algebras Rota proposed to consider a particular operator identity first introduced by the mathematician Glen Baxter. Later it was coined Rota-Baxter identity. In this article we briefly recall basic properties of Rota--Baxter algebras, and present a concise review of recent work with a particular emphasis of noncommutative aspects.

Dates et versions

hal-00866616 , version 1 (26-09-2013)

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Kurusch Ebrahimi-Fard, Frederic Patras. La structure combinatoire du calcul intégral.. Gazette des Mathématiciens, 2013, 138, pp.5-22. ⟨hal-00866616⟩
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