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Principal Irreducible Lie-Algebra Modules

Published online by Cambridge University Press:  20 November 2018

Frank J. Servedio
Frank J. Servedio*
Affiliation:
McMaster University, Hamilton, Ontario L8s 4K1
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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
Canadian Mathematical Bulletin , Volume 21 , Issue 4 , 01 December 1978 , pp. 483 - 489
Copyright
Copyright © Canadian Mathematical Society 1978

References

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