∞-Lie theory (higher geometry)
Formal Lie groupoids
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.
Revised on January 21, 2015 22:56:56
by Urs Schreiber