Lie algebra
In mathematics, a Lie algebra is an algebraic structure whose main use lies in studying geometric objects such as Lie groups and differentiable manifolds. Lie algebras were introduced to study the concept of infinitesimal transformations. The term "Lie algebra" (after Sophus Lie, pronounced "lee") was introduced by Hermann Weyl in the 1930s. In older texts, the name "infinitesimal group" is used.
Related Topics:
Mathematics - Lie groups - Manifolds - Infinitesimal transformation - Sophus Lie - Hermann Weyl - 1930s
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~ Table of Content ~
| ► | Introduction |
| ► | Definition |
| ► | Examples |
| ► | Homomorphisms, subalgebras, and ideals |
| ► | Classification of Lie algebras |
| ► | Category theoretic definition |
| ► | Related topics |
| ► | References |
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