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Primary decomposition in enveloping algebras

Published online by Cambridge University Press:  20 January 2009

K. A. Brown  and
T. H. Lenagan
K. A. Brown
Affiliation:
University of Glasgow
T. H. Lenagan
Affiliation:
University of Edinburgh
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Recently, the first author and, independently, A. V. Jategaonkar have shown that every factor ring of U(g), the universal enveloping algebra of a finite dimensional complex Lie algebra, has a primary decomposition if g is solvable and almost algebraic. On the other hand, a suitable factor ring of U(SL(2, ℂ) fails to have a primary decomposition (1).

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 24 , Issue 2 , June 1981 , pp. 83 - 85
Copyright
Copyright © Edinburgh Mathematical Society 1981

References

REFERENCES

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