Primeness of the enveloping algebra of Hamiltonian superalgebras
1997 ◽
Vol 56
(3)
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pp. 483-488
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Keyword(s):
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.
2018 ◽
Vol 17
(11)
◽
pp. 1850212
2009 ◽
Vol 20
(11)
◽
pp. 1347-1362
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1988 ◽
Vol 112
◽
pp. 153-169
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1982 ◽
Vol 25
(2)
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pp. 133-139
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