Parabolic Lie algebra

In algebra, a parabolic Lie algebra is a subalgebra of a semisimple Lie algebra satisfying one of the following two conditions:

These conditions are equivalent over an algebraically closed field of characteristic zero, such as the complex numbers. If the field is not algebraically closed, then the first condition is replaced by the assumption that

where is the algebraic closure of .

See also

Bibliography


This article is issued from Wikipedia - version of the 12/18/2015. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.