IJPAM: Volume 57, No. 1 (2009)
ON THE CLASSIFICATION OF
COMPACT SIMPLE LIE BIALGEBRAS
COMPACT SIMPLE LIE BIALGEBRAS
Steven Benzel
Department of Mathematics
Berry College
Mount Berry, GA 30149, USA
e-mail: sbenzel@berry.edu
Department of Mathematics
Berry College
Mount Berry, GA 30149, USA
e-mail: sbenzel@berry.edu
Abstract.We begin by reviewing the definition of a Lie bialgebra and establish
a basic equivalence type theorem for the Lie bialgebra structure.
We then present a new proof of the Soibelman classification of such structures for a compact
simple Lie bialgebra. The proof uses only well known properties of
compact simple Lie algebras and does rely on the Drinfeld classification for
complex simple Lie bialgebras.
Received: October 20, 2009
AMS Subject Classification: 17B62
Key Words and Phrases: Lie bialgebras
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 57
Issue: 1