Article contents
Principal Irreducible Lie-Algebra Modules
Published online by Cambridge University Press: 20 November 2018
Extract
Let V be a finite dimensional vector space over k, a field of characteristic 0, L be an algebraic Lie-subalgebra of Endk(V), with the latter a Lie algebra in the canonical way, and let V be an L-module in the canonical way. For X ∈ V, let LX = {AX | A ∈ L{. Call V a principal L-module if ∃ X ∈ V such that LX= V; X will be called a principal generator of the L-module V.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1978
References
- 1
- Cited by