Integrable Generators of Polynomial Vector Fields for Complex Classical Lie Groups
Yiyang Jiang, Xudong Chen
Abstract
We consider in this paper complex Lie groups SLn(C) for n≥ 2, SOn(C) for n≥ 5, and Sp2n(C) for n≥ 1. We show that for any such Lie group, the Lie algebra of polynomial vector fields can be generated by three C-complete polynomial vector fields.
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