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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

218 11- PDF

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

68 10

Symplectic convexity theorems and coadjoint orbits

- J. Hilgert, K. Neeb, W. 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

89 10- PDF

Differential Calculus over General Base Fields and Rings

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

Abstract We present an axiomatic approach to finite- and infinite-dimensional differential calculus over arbitrary infinite fields (and, more generally, suitable rings). The corresponding basic… Expand

134 8- PDF

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

194 7- PDF

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

124 6

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

34 5- PDF

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

17 3

Infinite-Dimensional Lie Groups

- K. Neeb
- Mathematics
- 29 August 2005

HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and… Expand

44 3- PDF

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