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Primeness of the enveloping algebra of Hamiltonian superalgebras

Published online by Cambridge University Press:  17 April 2009

Mark C. Wilson
Mark C. Wilson
Affiliation:
Department of MathematicsUniversity of AucklandPrivate Bag 92019 AucklandNew Zealand e-mail: [email protected]
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Abstract

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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

References

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