spin group
C48110
concept
A spin group is a double cover of a special orthogonal group, realized as a subgroup of a Clifford algebra, that encodes the symmetries of spinors and provides a framework for describing fermionic rotations in geometry and physics.
All labels observed (1)
| Label | Occurrences |
|---|---|
| spin group canonical | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: spin group
Generated description
A spin group is a double cover of a special orthogonal group, realized as a subgroup of a Clifford algebra, that encodes the symmetries of spinors and provides a framework for describing fermionic rotations in geometry and physics.
Instances (1)
| Instance | Via concept surface |
|---|---|
| Spin(2,d) | — |