Character groups of Hopf algebras as infinite-dimensional Lie groups

DOI10.5802/aif.3059zbMath1408.22023arXiv1501.05221OpenAlexW2962680178WikidataQ115159010 ScholiaQ115159010MaRDI QIDQ507098

Rafael Dahmen, Alexander Schmeding, Geir Bogfjellmo

Publication date: 3 February 2017

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.05221

zbMATH Keywords

Hopf algebrapro-Lie groupweakly complete spaceinfinite-dimensional Lie groupreal analyticcontinuous inverse algebraButcher group

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Group structures and generalizations on infinite-dimensional manifolds (58B25) Functional calculus in topological algebras (46H30) Character groups and dual objects (43A40) Hopf algebras and their applications (16T05)

Related Items

Lie groups of controlled characters of combinatorial Hopf algebras, The Pro-Lie Group Aspect of Weakly Complete Algebras and Weakly Complete Group Hopf Algebras, Smooth rough paths, their geometry and algebraic renormalization, Gauge symmetries and renormalization, Pro-Lie groups: a survey with open problems, Continuity of formal power series products in nonlinear control theory, Quasi-geometric rough paths and rough change of variable formula, The Lie group structure of the Butcher group

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