RUS  ENG
Full version
JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive
SIGMA, 2008 Volume 4, 020, 10 pp. (Mi sigma273)
This article is cited in 1 paper

An Infinite Dimensional Approach to the Third Fundamental Theorem of Lie

Richard D. Bourgin, Thierry P. Robart

Department of Mathematics, Howard University, Washington DC 20059, USA

Abstract: We revisit the third fundamental theorem of Lie (Lie III) for finite dimensional Lie algebras in the context of infinite dimensional matrices.

Keywords: Lie algebra; Ado theorem; integration; Lie group; infinite dimensional matrix; representation.

MSC: 15A09; 15A29; 17A99; 17B66; 17D99; 22A22; 22A25; 22E05; 22E15; 22E45; 58H05

Received: November 2, 2007; in final form January 16, 2008; Published online February 16, 2008

Language: English

DOI: 10.3842/SIGMA.2008.020



Bibliographic databases:
ArXiv: 0802.2332

© Steklov Math. Inst. of RAS, 2024