Free Lie algebras as modules over their enveloping algebras

Labute, John P.

doi:10.1090/S0002-9939-1978-0469992-7

Free Lie algebras as modules over their enveloping algebras

Author: John P. Labute
Journal: Proc. Amer. Math. Soc. 68 (1978), 135-139
MSC: Primary 17B35
DOI: https://doi.org/10.1090/S0002-9939-1978-0469992-7
MathSciNet review: 0469992
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Abstract: In this paper we determine the linear relations that exist between the free generators of a free Lie algebra L when it is viewed as a module over its enveloping algebra via the adjoint representation. As an application, the annihilator of a homogeneous element of L is determined.

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