Lie algebroid
infinitesimal version of a Lie groupoid: manifold M with vector bundle E, vector bundle map ρ: E→TM, and a Lie bracket on sections of E, so that [s,ft] = (ρ(s)f)t+f[s,t] for any function f: M→ℝ and sections s, t of E
Press Enter · cited answer in seconds
0 sources
Lie algebroid
Summary
Lie algebroid ranks in the top 2% of general entities by monthly Wikipedia readership (63 views/month).[1]
Key Facts
- Sophus Lie is named after Lie algebroid[2].
- Lie algebra is named after Lie algebroid[3].
- Lie groupoid is named after Lie algebroid[4].
- Lie algebroid is a type of Courant algebroid[5].
- Lie algebroid is a type of algebraic structure[6].
- Lie algebroid's Stack Exchange tag is recorded as https://mathoverflow.net/tags/lie-algebroids[7].
- Lie algebroid's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/lie-algebroids[8].
- Lie algebroid's maintained by WikiProject is recorded as WikiProject Mathematics[9].
- Lie algebroid's underlying structure is recorded as vector bundle[10].
Body
Definition and Type
Recorded subclass of include Courant algebroid[5] and algebraic structure[6].
Origins
Things named after include Sophus Lie[2], a mathematician[11], 1842–1899[12], of Norway[13], awarded the Knight of the Order of St. Olav[14], specialised in group theory[15]; Lie algebra[3], a mathematical concept[16]; and Lie groupoid[4].
Why It Matters
Lie algebroid ranks in the top 2% of general entities by monthly Wikipedia readership (63 views/month).[1] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[17]