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Primeness of the enveloping algebra of a Cartan type Lie superalgebra
Authors:Mark Curtis Wilson
Affiliation:Department of Mathematics, University of Wisconsin, 480 Lincoln Drive, Madison, Wisconsin 53706-1388
Abstract:We show that a primeness criterion for enveloping algebras of Lie superalgebras discovered by Bell is applicable to the Cartan type Lie superalgebras $W(n)$, $n$ even. Other algebras are considered but there are no definitive answers in these cases.

Keywords:$W(n)$   Cartan type Lie superalgebra   prime enveloping algebra
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