∞-Lie theory (higher geometry)
Background
Smooth structure
Higher groupoids
Lie theory
∞-Lie groupoids
∞-Lie algebroids
Formal Lie groupoids
Cohomology
Homotopy
Related topics
Examples
-Lie groupoids
-Lie groups
-Lie algebroids
-Lie algebras
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.
Last revised on August 17, 2022 at 09:31:30. See the history of this page for a list of all contributions to it.