A note on central extensions of Lie groups.
Neeb, Karl-Hermann (1996)
Journal of Lie Theory
Similarity:
Neeb, Karl-Hermann (1996)
Journal of Lie Theory
Similarity:
Christoph Wockel, Chenchang Zhu (2016)
Journal of the European Mathematical Society
Similarity:
The purpose of this paper is to show how central extensions of (possibly infinite-dimensional) Lie algebras integrate to central extensions of étale Lie 2-groups in the sense of [Get09, Hen08]. In finite dimensions, central extensions of Lie algebras integrate to central extensions of Lie groups, a fact which is due to the vanishing of for each finite-dimensional Lie group. This fact was used by Cartan (in a slightly other guise) to construct the simply connected Lie group associated...
Karl-Hermann Neeb (2007)
Annales de l’institut Fourier
Similarity:
In this article 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 those corresponding to a class of so-called smooth outer actions of on . If is given, we show that the corresponding set of extension classes is a principal homogeneous space of the locally smooth cohomology group . To each a locally smooth obstruction class in a suitably defined cohomology group...
Miloud Benayed (1998)
Extracta Mathematicae
Similarity:
Benayed, Miloud, Souidi, El Mamoun (1998)
The New York Journal of Mathematics [electronic only]
Similarity:
Wiesław Kubiś, Sławomir Turek (2011)
Open Mathematics
Similarity:
We show that every compact connected group is the limit of a continuous inverse sequence, in the category of compact groups, where each successor bonding map is either an epimorphism with finite kernel or the projection from a product by a simple compact Lie group. As an application, we present a proof of an unpublished result of Charles Mills from 1978: every compact group is supercompact.
Georges Giraud, Michel Boyom (2004)
Open Mathematics
Similarity:
We consider a real analytic dynamical system G×M→M with nonempty fixed point subset M G. Using symmetries of G×M→M, we give some conditions which imply the existence of transitive Lie transformation group with G as isotropy subgroup.
Y. Kosmann-Schwarzbach, F. Magri (1988)
Annales de l'I.H.P. Physique théorique
Similarity:
Jan Kubarski (1991)
Revista Matemática de la Universidad Complutense de Madrid
Similarity: