HOPF ALGEBRAS IN DYNAMICAL SYSTEMS THEORY

DOI10.1142/S0219887807002211zbMath1178.37023arXivmath/0701010OpenAlexW3102137614MaRDI QIDQ3502963

Héctor Figueroa, José F. Cariñena, Kurusch Ebrahimi-Fard, José M. Gracia-Bondía

Publication date: 20 May 2008

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701010

zbMATH Keywords

Hopf algebraRiccati equationMagnus expansionLie-Rinehart algebrasSpitzer's identityLie-Scheffers systemsDyson-Chen seriesCampbell-Baker-Hausdorff-Dynkin formulanon-autonomous linear differential equationsRota-Baxter operator theory

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Dynamics induced by flows and semiflows (37C10) Topological dynamics of nonautonomous systems (37B55) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50) Hopf algebras and their applications (16T05)

Related Items

Rota-Baxter algebras and new combinatorial identities ⋮ Inhomogeneous Spitzer-type identities for commutative and non-commutative Rota–Baxter algebras ⋮ FREE ROTA–BAXTER ALGEBRAS AND ROOTED TREES ⋮ Fourier analysis on the affine group, quantization and noncompact Connes geometries ⋮ Dendriform equations ⋮ A noncommutative Bohnenblust-Spitzer identity for Rota-Baxter algebras solves Bogoliubov's recursion ⋮ A Magnus- and Fer-type formula in dendriform algebras.

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