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:
 10.3842/SIGMA.2008.020
 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
 EPrint:
 This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 2430, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/