Nonassociative rings and algebras Representations of Lie algebras Concept
Verma module
Summary
A Verma module is the largest module of a complex semisimple Lie algebra generated by a vector of a given highest weight. It is built from the universal enveloping algebra by induction from a Borel subalgebra. Every irreducible highest weight module, in particular every finite-dimensional irreducible module, is a quotient of a Verma module. Verma modules are the standard objects of category O.
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| Tag | 809XR5G0DG |
|---|---|
| URI | m2://809XR5G0DG |
| Kind | concept |
| Writing | W0 stub |
| MSC | 17B10, 17B35 |
| Same as | |
| Changed | 3 November 2026 |
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