Karl-Hermann Neeb

Karl-Hermann Neeb, Oberwolfach 2014

Karl-Hermann Neeb (* 1964 ) is a German mathematician who deals with Lie groups and Lie algebras and their representation theory.

Neeb received his doctorate in 1990 under Karl Heinrich Hofmann at the TH Darmstadt (Globality of Lie Wedges). He taught at the TU Darmstadt and is a professor at the Friedrich-Alexander-Universität Erlangen-Nürnberg .

Neeb is particularly concerned with infinite-dimensional Lie groups and Lie algebras and their representations.

Fonts (selection)

with Joachim Hilgert : Lie groups and Lie algebras, Vieweg / Teubner 1991
Holomorphy and convexity in Lie theory, De Gruyter 2000
with Joachim Hilgert: Lie semigroups and their applications, Springer 2006
with Joachim Hilgert: Lie groups and Lie algebras, Springer 2013
with Joachim Hilgert: Structure and Geometry of Lie Groups, Springer 2011
with Joachim Hilgert, Werner Plank: Coadjoint Orbits, Composition Mathematica, Volume 94, 1995, pp. 129-180
Central extensions of infinite-dimensional Lie groups (Extensions centrales des groupes de Lie de dimension infinie), Annales de l'Institut Fourier, Volume 52, 2002, pp. 1365-1442
with Wolfram Bertram, H. Glöckner: Differential calculus over general base fields and rings, Expositiones Mathematicae, Volume 22, 2004, pp. 213–282
Infinite-Dimensional Groups and Their Representations, in: Jean-Philippe Anker, Bent Orsted (Ed.), Lie Theory: Lie Algebras and Representations, Birkhäuser 2004
Towards a Lie theory of locally convex groups, Japanese Journal of Mathematics, Volume 1, 2006, pp. 291-468
Editor with Arturo Pianzola: Developments and trends in infinite-dimensional Lie theory, Birkhäuser 2011
with Henning Krause , Peter Littelmann, Gunter Malle , Christoph Schweigert (Eds.): Representation theory - Current Trends and Perspectives, European Mathematical Society 2017

He is editor of the Journal of Lie Theory.