An Infinite Dimensional Approach to the Third Fundamental Theorem of Lie
Abstract
We revisit the third fundamental theorem of Lie (Lie III) for finite dimensional Lie algebras in the context of infinite dimensional matrices.
- Publication:
-
SIGMA
- Pub Date:
- February 2008
- DOI:
- arXiv:
- arXiv:0802.2332
- Bibcode:
- 2008SIGMA...4..020B
- Keywords:
-
- Lie algebra;
- Ado theorem;
- integration;
- Lie group;
- infinite dimensional matrix;
- representation;
- Mathematics - Representation Theory;
- Mathematics - Group Theory
- E-Print:
- This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/