Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4588551 | Journal of Algebra | 2006 | 11 Pages |
Abstract
Let g be an n-dimensional Lie algebra over a field k of characteristic zero and let W be a g-module such that dimW⩾n. Sufficient conditions are given in order for the semi-direct product g⊕W to satisfy the Gelfand–Kirillov conjecture. This implies that this conjecture holds for an important class of Frobenius Lie algebras. Special attention is devoted to the case where g=sl(2,k).
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