Lie group

Summary

Lie group is a mathematical concept^[1]. It ranks in the top 3% of mathematical_concept entities by monthly Wikipedia readership (2,016 views/month).^[2]

Key Facts

• Lie group is credited with the discovery of Sophus Lie^[3].
• Lie group's instance of is recorded as mathematical concept^[4].
• Sophus Lie is named after Lie group^[5].
• Lie group is a type of group object^[6].
• Lie group is a type of topological group^[7].
• Lie group is a type of analytic manifold^[8].
• Lie group is a type of parallelizable manifold^[9].
• Lie group's Commons category is recorded as Lie groups^[10].
• Lie group's time of discovery or invention is recorded as 1870^[11].
• Lie group's topic's main category is recorded as Category:Lie groups^[12].
• Lie group's topic has template is recorded as Template:Lie groups^[13].
• Lie group's Stack Exchange tag is recorded as https://mathoverflow.net/tags/lie-groups^[14].
• Lie group's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/lie-groups^[15].
• Lie group's different from is recorded as group of Lie type^[16].
• Lie group's studied by is recorded as Lie theory^[17].
• Lie group's maintained by WikiProject is recorded as WikiProject Mathematics^[18].

Body

Definition and Type

Lie group's instance of is recorded as mathematical concept^[4]. Recorded subclass of include group object^[6], topological group^[7], analytic manifold^[8], and parallelizable manifold^[9].

Origins

Sophus Lie is named after Lie group^[5].

Why It Matters

Lie group ranks in the top 3% of mathematical_concept entities by monthly Wikipedia readership (2,016 views/month).^[2] It has Wikipedia articles in 26 language editions, a strong signal of global cultural recognition.^[19] It is known by 25 alternative names across languages and contexts.^[20]