Hopf algebras of smooth functions on compact Lie groups

Eva C. Farkas

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Report on K-theory for convenient algebras

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Convenient vector spaces embed into the Cahiers topos

Anders Kock (1986)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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Quasitriangular Hom-Hopf algebras

Yuanyuan Chen, Zhongwei Wang, Liangyun Zhang (2014)

Colloquium Mathematicae

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A twisted generalization of quasitriangular Hopf algebras called quasitriangular Hom-Hopf algebras is introduced. We characterize these algebras in terms of certain morphisms. We also give their equivalent description via a braided monoidal category $̃ (_{H} ℳ)$ . Finally, we study the twisting structure of quasitriangular Hom-Hopf algebras by conjugation with Hom-2-cocycles.

Product preserving functors of infinite-dimensional manifolds

Andreas Kriegl, Peter W. Michor (1996)

Archivum Mathematicum

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The theory of product preserving functors and Weil functors is partly extended to infinite dimensional manifolds, using the theory of $C^{\infty}$ -algebras.