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most citedThe polynomiality of the Poisson center and semi-center of a Lie algebra and Dixmier's fourth problem

8 citations · 11 across the 7 of their papers we have counts for

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Showing 2008 · math.RTShow all

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math.RT2008★ 3 cited

Computing invariants and semi-invariants by means of Frobenius Lie algebras

Alfons I. Ooms

Let U(L) be the enveloping algebra of a finite dimensional Lie algebra L over a field k of characteristic zero, Z(U(L)) its center and Sz(U(L)) its semicenter. A sufficient conditi…

math.RT2008

A degree inequality for Lie algebras with a regular Poisson semi-center

A. I. Ooms, M. Van den Bergh

For Lie algebras whose Poisson semi-center is a polynomial ring we give a bound for the sum of the degrees of the generating semi-invariants. This bound was previously known in man…