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math.RA2026
Integrable Generators of Algebraic Vector Fields for Real Connected Semi-simple Matrix Groups
Yiyang Jiang, Xudong Chen
We show that for any real, connected, semi-simple matrix group, its Lie algebra of algebraic vector fields can be generated by three complete vector fields.
math.RA2017★ 4 cited
Distinguished Sets of Semi-simple Lie Algebras
Xudong Chen, Bahman Gharesifard
We call a finite, spanning set of a semi-simple real Lie algebra a distinguished set if it satisfies the following property: The Lie bracket of any two elements out of the set is,…