Primeness of the enveloping algebra of the special Lie superalgebras

Geoffrey Pritchard and Mark C. Wilson, Archiv der Mathematik 70 (1998), 187-196.

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Abstract: A primeness criterion due to Bell is shown to apply to the universal enveloping algebra of the Cartan type Lie superalgebras $latex S(V)$ and $latex widetilde{S}(V;t)$ when $latex dim V$ is even.