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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…
math.RT2003
On Commutative Polarizations
Alexader G. Elashvili, Alfons I. Ooms
The purpose of this paper is to study finite-dimensional Lie algebras over a field k of characteristic zero which admit a commutative polarization (CP). Among the many results and…