Local reflexion spaces

Jan Gregorovič

Displaying similar documents to “Local reflexion spaces”

The configuration space of gauge theory on open manifolds of bounded geometry

Jürgen Eichhorn, Gerd Heber (1997)

Banach Center Publications

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We define suitable Sobolev topologies on the space $𝒞_{P} (B_{k}, f)$ of connections of bounded geometry and finite Yang-Mills action and the gauge group and show that the corresponding configuration space is a stratified space. The underlying open manifold is assumed to have bounded geometry.

A connected Lie group equals the square of the exponential image.

Wüstner, Michael (2003)

Journal of Lie Theory

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Symmetric space Cartan connections and gravity in three and four dimensions.

Wise, Derek K. (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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On compact elements in solvable Lie groups

Michael Wüstner (1998)

Colloquium Mathematicae

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Lie group extensions associated to projective modules of continuous inverse algebras

Karl-Hermann Neeb (2008)

Archivum Mathematicum

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We call a unital locally convex algebra $A$ a continuous inverse algebra if its unit group $A^{\times}$ is open and inversion is a continuous map. For any smooth action of a, possibly infinite-dimensional, connected Lie group $G$ on a continuous inverse algebra $A$ by automorphisms and any finitely generated projective right $A$ -module $E$ , we construct a Lie group extension $\hat{G}$ of $G$ by the group ${GL}_{A} (E)$ of automorphisms of the $A$ -module $E$ . This Lie group extension is a “non-commutative” version of the group $Aut (𝕍)$ of...

Cartan connections and Lie algebroids.

Crampin, Michael (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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