Bell’s primeness criterion for W(2n+1)

Geoffrey Pritchard and Mark C. Wilson, Experimental Mathematics 6 (1997), 77-85.

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Abstract: On the basis of experimental work involving matrix computations, we conjecture that a criterion due to Bell for primeness of the universal enveloping algebra of a Lie superalgebra applies to the Cartan type Lie superalgebras $latex W(n)$ for $latex n=3$ but does not apply for odd $latex ngeq 5$. The experiments lead to a rigorous proof, which we present.