Lie group
group that is also a smooth manifold with group operations that are smooth
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Summary
Lie group is a mathematical concept[1]. It ranks in the top 3% of mathematical concept entities by monthly Wikipedia readership (4,700 views/month).[2]
Key Facts
- Discoverer or inventor: Sophus Lie[3]
- Named after: Sophus Lie[4]
- Subclass of: group object[5], topological group[6], analytic manifold[7], parallelizable manifold[8]
- Commons category: Lie groups[9]
- Time of discovery or invention: 1870[10]
- Topic's main category: Category:Lie groups[11]
- Topic has template: Template:Lie groups[12]
- Stack Exchange tag: https://mathoverflow.net/tags/lie-groups[13], https://math.stackexchange.com/tags/lie-groups[14]
- Different from: group of Lie type[15]
- Studied by: Lie theory[16]
- Maintained by WikiProject: WikiProject Mathematics[17]
Why It Matters
Lie group has Wikipedia articles in 26 language editions, a strong signal of global cultural recognition.[18] It is known by 47 alternative names across languages and contexts.[19]