Given a semisimple Lie algebra over a field with Borel subalgebra a Verma module is the induced module
where is one dimensional representation of corresponding to the character of .
This construction is used also for many other Lie algebras with triangular decomposition, for quantized enveloping algebras and many other generalizations.
Created on November 12, 2012 02:09:45
by Zoran Škoda