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rotation group SO(4)

special orthogonal group
Thing Special Orthogonal Group Q4048844

Facts

7 properties
Instance of
special orthogonal group
Follows
rotation group SO(3)[2]
Followed by
rotation group SO(5)[3]
Defining formula
u' + x'i + y'j + z'k = (a + bi + cj + dk)(u + xi + yj + zk)(p + qi + rj + sk),[4]
Euler characteristic
-1.0[6]
Has operation
rotation[7]
Maintained by WikiProject
WikiProject Mathematics[5]
🏷️ Also known as
en rotation group SO(4) en Rotations in 4-dimensional Euclidean spaceRotations in 4-dimensional Euclidean space en SO(4) es grupo de rotación SO(4) es Rotaciones en el espacio euclídeo 4-dimensional fr Rotation en quatre dimensions hi चतुर्विम यूक्लिडीन समष्टि में घूर्णन ja 3次元回転のオイラー–ロドリゲス公式 ja 4次元ユークリッド空間での回転 ja 単純な回転 ja 四次回転群 ja 回転群 SO(4) ko 4차원 회전군 pt grupo de rotação SO(4) ro rotație în spațiul euclidian cvadridimensional zh 單旋轉 zh 四維 zh 等斜旋轉 zh 雙旋轉 zh-hans 单旋转
🔖 Identifiers · 2
Freebase ID
/m/072pc_
Microsoft Academic ID (discontinued)
69927466

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🔗 Connections
Follows 1
rotation group SO(3)
Has operation 1
rotation
Instance of 1
special orthogonal group
Maintained by WikiProject 1
WikiProject Mathematics
Preceded by (successor) 1
rotation group SO(3)
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Summary

rotation group SO(4) is a special orthogonal group[1].

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). rotation group SO(4). Retrieved November 11, 2026, from https://4ort.xyz/entity/rotation-group-so-4
MLA “rotation group SO(4).” 4ort.xyz Knowledge Graph, 4ort.xyz, 11 Nov. 2026, https://4ort.xyz/entity/rotation-group-so-4.
BibTeX @misc{4ortxyz_rotation-group-so-4_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{rotation group SO(4)}}, year = {2026}, url = {https://4ort.xyz/entity/rotation-group-so-4}, note = {Accessed: 2026-11-11}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): rotation group SO(4) — https://4ort.xyz/entity/rotation-group-so-4 (retrieved 2026-11-11)

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