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- W2950103721 abstract "Frolicher spaces form a cartesian closed category which contains the category of smooth manifolds as a full subcategory. Therefore, mapping groups such as C^infty(M,G) or Diff(M), but also projective limits of Lie groups are in a natural way objects of that category, and group operations are morphisms in the category. We call groups with this property Frolicher groups. One can define tangent spaces to Frolicher spaces, and in the present article we prove that, under a certain additional assumption, the tangent space at the identity of a Frolicher group can be equipped with a Lie bracket. We discuss an example which satisfies the additional assumption." @default.
- W2950103721 created "2019-06-27" @default.
- W2950103721 creator A5038927195 @default.
- W2950103721 date "2009-06-24" @default.
- W2950103721 modified "2023-09-27" @default.
- W2950103721 title "A Lie algebra for Frolicher groups" @default.
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