representation of a group
C27997
concept
A representation of a group is a homomorphism from that group into the group of linear transformations of a vector space, allowing the group’s abstract elements to be studied via concrete matrices or operators.
All labels observed (2)
| Label | Occurrences |
|---|---|
| representation of a group canonical | 2 |
| realization of group representation | 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: representation of a group
Generated description
A representation of a group is a homomorphism from that group into the group of linear transformations of a vector space, allowing the group’s abstract elements to be studied via concrete matrices or operators.
Instances (3)
| Instance | Via concept surface |
|---|---|
| Weil representation | — |
| Galois representations | — |
| Fock model | realization of group representation |