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Symplectic convexity theorems and coadjoint orbits

- J. Hilgert, K. Neeb, Werner Plank
- Mathematics
- 1994

© Foundation Compositio Mathematica, 1994, tous droits réservés. L’accès aux archives de la revue « Compositio Mathematica » (http: //http://www.compositio.nl/) implique l’accord avec les conditions… Expand

Towards a Lie theory of locally convex groups

- K. Neeb
- Mathematics
- 17 September 2006

Abstract.In this survey, we report on the state of the art of some of the fundamental problems in the Lie theory of Lie groups modeled on locally convex spaces, such as integrability of Lie algebras,… Expand

Structure and Geometry of Lie Groups

- J. Hilgert, K. Neeb
- Mathematics
- 5 November 2011

Matrix Groups.- Concrete Matrix Groups. The Matrix Exponential Function. Linear Lie Groups. Lie Algebras.- Elementary Structure Theory of Lie Algebras. Root Decomposition. Representation Theory of… Expand

Differential Calculus over General Base Fields and Rings

- W. Bertram, Helge Glöckner, K. Neeb
- Mathematics
- 2004

A Cartan–Hadamard Theorem for Banach–Finsler Manifolds

- K. Neeb
- Mathematics
- 2002

In this paper we study Banach–Finsler manifolds endowed with a spray which have seminegative curvature in the sense that the corresponding exponential function has a surjective expansive differential… Expand

Lie semigroups and their applications

- J. Hilgert, K. Neeb
- Mathematics
- 1993

Lie semigroups and their tangent wedges.- Examples.- Geometry and topology of Lie semigroups.- Ordered homogeneous spaces.- Applications of ordered spaces to Lie semigroups.- Maximal semigroups in… Expand

Non-Abelian Extensions of Topological Lie Algebras

- K. Neeb
- Mathematics
- 11 November 2004

ABSTRACT In this article we extend and adapt several results on extensions of Lie algebras to topological Lie algebras over topological fields of characteristic zero. In particular, we describe the… Expand

Abelian extensions of infinite-dimensional Lie groups

- K. Neeb
- Mathematics
- 18 February 2004

In the present paper we study abelian extensions of connected Lie groups G modeled on locally convex spaces by smooth G-modules A. We parametrize the extension classes by a suitable cohomology group… Expand

Weak Poisson Structures on Infinite Dimensional Manifolds and Hamiltonian Actions

- K. Neeb, H. Sahlmann, T. Thiemann
- Mathematics
- 27 February 2014

We introduce a notion of a weak Poisson structure on a manifold M modeled on a locally convex space. This is done by specifying a Poisson bracket on a subalgebra \(\mathcal{A}\subseteq C^{\infty… Expand

Basic Lie Theory

- J. Hilgert, K. Neeb
- Mathematics
- 2012

This chapter is devoted to the subject proper of this book: Lie groups, defined as smooth manifolds with a group structure such that all structure maps (multiplication and inversion) are smooth. Here… Expand

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