Birkhoff decompositions for loop groups with coefficient algebras

Helge Glockner

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arXiv · 2206.11711

Birkhoff decompositions for loop groups with coefficient algebras

Helge Glockner

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Abstract

Starting with a finite-dimensional complex Lie algebra, we extend scalars using suitable commutative topological algebras. We study Birkhoff decompositions for the corresponding loop groups. Some results remain valid for loop groups with valued in complex Banach-Lie groups.

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Helge Glockner. 2022-06-23. Birkhoff decompositions for loop groups with coefficient algebras. https://arxiv.org/abs/2206.11711

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