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Nonembeddable Factors of the Enveloping Algebras of Semisimple Lie Algebras

Nonembeddable Factors of the Enveloping Algebras of Semisimple Lie Algebras It is shown that the enveloping algebra of every (finite dimensional, complex) semisimple Lie algebra has a factor ring which cannot be embedded in any Artinian ring. The proof helps to clarify the connection between primary decomposition and embeddability, which was obscured in the original proof [3] that U(sl2(C)) admits a nonembeddable factor. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

Nonembeddable Factors of the Enveloping Algebras of Semisimple Lie Algebras

Dean, C.
Bulletin of the London Mathematical Society , Volume 21 (1) – Jan 1, 1989
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Publisher
Wiley
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/blms/21.1.65
Publisher site
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Abstract

It is shown that the enveloping algebra of every (finite dimensional, complex) semisimple Lie algebra has a factor ring which cannot be embedded in any Artinian ring. The proof helps to clarify the connection between primary decomposition and embeddability, which was obscured in the original proof [3] that U(sl2(C)) admits a nonembeddable factor.

Journal

Bulletin of the London Mathematical Society – Wiley

Published: Jan 1, 1989

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