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.

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 × 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 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...