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Primeness of the enveloping algebra of Hamiltonian superalgebras
Published online by Cambridge University Press: 17 April 2009
Abstract
In 1990 Allen Bell presented a sufficient condition for the primeness of the universal enveloping algebra of a Lie superalgebra. Let Q be a nonsingular bilinear form on a finite-dimensional vector space over a field of characteristic zero. In this paper we show that Bell's criterion applies to the Hamiltonian Cartan type superalgebras determined by Q, and hence that their enveloping algebras are semiprimitive.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 56 , Issue 3 , December 1997 , pp. 483 - 488
- Copyright
- Copyright © Australian Mathematical Society 1997
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