general linear Lie algebra
Formal Lie groupoids
For a vector space, the general linear Lie algebra or endomrphism Lie algebra of is the Lie algebra whose elements are linear endomorphisms and whose Lie bracket is given by the commutator of endomorphisms.
This is also the endomorphism L-∞ algebra of
If is a real vector space that carries an inner product there are the sub-Lie algebras
If is a complex vector space with an inner product there is
Created on April 2, 2011 10:50:00
by Urs Schreiber