44 citations · 99 across the 15 of their papers we have counts for
5 papers · 1 filter
Lie groups of bundle automorphisms and their extensions
Karl-Hermann Neeb
We describe natural abelian extensions of the Lie algebra $\aut(P)$ of infinitesimal automorphisms of a principal bundle over a compact manifold and discuss their integrability…
A complex semigroup approach to group algebras of infinite dimensional Lie groups
Karl-Hermann Neeb
A host algebra of a topological group G is a C^*-algebra whose representations are in one-to-one correspondence with certain continuous unitary representations of G. In this paper…
On the cohomology of vector fields on parallelizable manifolds
Yuly Billig, Karl-Hermann Neeb
In the present paper we determine for each parallelizable smooth compact manifold the cohomology spaces of the Lie algebra of smooth vector fields on…
An implicit function theorem for Banach spaces and some applications
Jinpeng An, Karl-Hermann Neeb
We prove a generalized implicit function theorem for Banach spaces, without the usual assumption that the subspaces involved being complemented. Then we apply it to the problem of…
Lie group structures on groups of smooth and holomorphic maps on non-compact manifolds
Karl-Hermann Neeb, Friedrich Wagemann
We study Lie group structures on groups of the form C^\infty(M,K)}, where M is a non-compact smooth manifold and K is a, possibly infinite-dimensional, Lie group. First we prove th…