real algebraic group
C44642
concept
A real algebraic group is a group that is also a real algebraic variety, with group operations (multiplication and inversion) given by regular (polynomial) maps defined over the real numbers.
All labels observed (1)
| Label | Occurrences |
|---|---|
| real algebraic group canonical | 4 |
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: real algebraic group
Generated description
A real algebraic group is a group that is also a real algebraic variety, with group operations (multiplication and inversion) given by regular (polynomial) maps defined over the real numbers.
Instances (4)
| Instance | Via concept surface |
|---|---|
|
SO(n)
linked to:
special orthogonal group SO(n)
|
— |
| orthogonal group O(n+1,2) | — |
|
GL(n,ℝ)
linked to:
general linear group GL(n,R)
|
— |
| PSL(2,ℝ) | — |