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From Iterated Integrals and Chronological Calculus to Hopf and Rota–Baxter Algebras

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Publication:5079626
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DOI10.1002/9781119880912.CH2zbMath1493.16029arXiv1911.08766OpenAlexW2989741283MaRDI QIDQ5079626

Frédéric Patras, Kurusch Ebrahimi-Fard

Publication date: 27 May 2022

Published in: Algebra and Applications 2 (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.08766


zbMATH Keywords

iterated integralsdescent algebraRota-Baxter algebraschronological calculusHopf algebraic interpretation


Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hopf algebras and their applications (16T05) Yang-Baxter equations and Rota-Baxter operators (17B38)


Related Items (5)

Post-Lie Magnus expansion and BCH-recursion ⋮ Wick polynomials in noncommutative probability: a group-theoretical approach ⋮ Cumulant-cumulant relations in free probability theory from Magnus' expansion ⋮ Algebraic structures underlying quantum independences: theory and applications ⋮ Quasi-shuffle algebras in non-commutative stochastic calculus







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