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advanced_tools:group_theory:lie_algebras [2018/04/08 13:00] jakobadmin [Intuitive] |
advanced_tools:group_theory:lie_algebras [2023/03/29 17:40] (current) 132.76.61.54 fur -> for |
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** Definition:** | ** Definition:** | ||
- | <WRAP tip> For a matrix Lie group $G$ the corresponding Lie algebra $\mathfrak{g}$ can be defined as the set of matrices $X$ that yield $e^{tX} \in G$ für $t \in \mathbb{R}$.</WRAP> | + | <WRAP tip> For a matrix Lie group $G$ the corresponding Lie algebra $\mathfrak{g}$ can be defined as the set of matrices $X$ that yield $e^{tX} \in G$ for $t \in \mathbb{R}$.</WRAP> |
**The Natural Product of a Lie Algebra:** | **The Natural Product of a Lie Algebra:** |