Delta methods in enveloping algebras of Lie color algebras. Wilson, M. C. Journal of Algebra, 175(2):661-696, Academic Press, 1995.
Delta methods in enveloping algebras of Lie color algebras [link]Paper  abstract   bibtex   
In recent papers J. Bergen and D.S. Passman have applied so-called `Delta methods' to enveloping algebras of Lie superalgebras. This paper generalizes their results to the class of Lie colour algebras. The methods and results in this paper are very similar to those of Bergen and Passman, and many of their proofs generalize easily. However, at some points there are serious difficulties to overcome. The results obtained show that if $L$ is a Lie colour algebra then the join of all finite-dimensional ideals of $L$ controls certain properties of the universal enveloping algebras $U(L)$. Specifically, we consider primeness, semiprimeness, constants, semi-invariants, almost constants, faithfulness of the adjoint action, the centre, almost centralizers and the central closure.
@article{wilson1995delta,
  title={Delta methods in enveloping algebras of Lie color algebras},
  author={Wilson, Mark C.},
  journal={Journal of Algebra},
  volume={175},
  number={2},
  pages={661-696},
  year={1995},
  publisher={Academic Press},
  keywords={algebra},
  url_Paper={https://www.sciencedirect.com/science/article/pii/S0021869385712070},
  abstract={In recent papers J. Bergen and D.S. Passman have applied so-called
`Delta methods' to enveloping algebras of Lie superalgebras. This paper
generalizes their results to the class of Lie colour algebras. The
methods and results in this paper are very similar to those of Bergen
and Passman, and many of their proofs generalize easily. However, at
some points there are serious difficulties to overcome. The results
obtained show that if $L$ is a Lie colour algebra then the join of all
finite-dimensional ideals of  $L$ controls certain properties of the
universal enveloping algebras  $U(L)$. Specifically, we consider
primeness, semiprimeness, constants, semi-invariants, almost constants,
faithfulness of the adjoint action, the centre, almost centralizers and
the central closure.}
}

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