44 citations · 59 across the 7 of their papers we have counts for
8 papers
Non-abelian extensions of infinite-dimensional Lie groups
Karl-Hermann Neeb
In this paper we study non-abelian extensions of a Lie group modeled on a locally convex space by a Lie group . The equivalence classes of such extension are grouped into th…
Non-abelian extensions of topological Lie algebras
Karl-Hermann Neeb
In this paper we extend and adapt several results on extensions of Lie algebras to topological Lie algebras over topological fields of characteristic zero. In particular we describ…
Extensions of Algebraic Groups
S. Kumar, K. -H. Neeb
Let be a connected complex algebraic group and a connected abelian algebraic group endowed with an algebraic action of by group automorphisms. In the present note we de…
Abelian extensions of infinite-dimensional Lie groups
Karl-Hermann Neeb
In the present paper we study abelian extensions of connected Lie groups modeled on locally convex spaces by smooth -modules . We parametrize the extension classes by a s…
Projective completions of Jordan pairs Part II. Manifold structures and symmetric spaces
Wolfgang Bertram, Karl-Hermann Neeb
We define symmetric spaces in arbitrary dimension and over arbitrary non-discrete topological fields $\K$, and we construct manifolds and symmetric spaces associated to topological…
Projective completions of Jordan pairs. Part I: The generalized projective geometry of a Lie algebra
Wolfgang Bertram, Karl-Hermann Neeb
A geometric realization of the projective completion of the Jordan pair corresponding to a three-graded Lie algebra is given which permits to develop a geometric structure theory o…