2005-07-15, English, Article, Journal or magazine article edition: Formulas for the Connes-Moscovici Hopf algebra. Menous, FreDeRic

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Physical Description
  • Magazine/​Journal article
Published
  • Elsevier B.V., 2005 July 15
Language
  • English

Edition details

Title
  • Formulas for the Connes-Moscovici Hopf algebra.
Appears In
  • Comptes rendus - Mathematique, v.341, no.2, 2005 July 15, p.75(4) (ISSN: 1631-073X)
Author
  • Menous, FreDeRic
Published
  • Elsevier B.V., 2005 July 15
Physical Description
  • Magazine/​Journal article
Subjects
Target Audience
  • Academic
Summary
  • To link to full-text access for this article, visit this link: http:/​/​dx.doi.org/​10.1016/​j.crma.2005.05.024 Byline: Frederic Menous Abstract: We give explicit formulas for the coproduct and the antipode in the Connes-Moscovici Hopf algebra H.sub.CM. To do so, we first restrict ourselves to a sub-Hopf algebra H.sup.1 containing the nontrivial elements, namely those for which the coproduct and the antipode are nontrivial. This algebra H.sup.1 is isomorphic to a sub-Hopf algebra of the classical shuffle Hopf algebra which appears naturally in resummation theory, in the framework of formal and analytic conjugacy of vector fields. Using the very simple structure of the shuffle Hopf algebra, we derive explicit formulas for the coproduct and the antipode in H.sub.CM. To cite this article: F. Menous, C. R. Acad. Sci. Paris, Ser. I 341 (2005). Author Affiliation: Laboratoire de mathematiques, UMR 8628, bAcentstiment 425, universite Paris-Sud, 91405 Orsay cedex, France Article History: Received 25 July 2004; Accepted 17 May 2005
Terms of Use
  • COPYRIGHT 2005 Elsevier B.V.
Language
  • English
Database
  • Gale Academic OneFile
Identifier
  • 195750532

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