infinite-dimensional Lie group
C58599
concept
An infinite-dimensional Lie group is a group that is also a smooth manifold modeled on an infinite-dimensional topological vector space, such that the group operations (multiplication and inversion) are smooth maps.
All labels observed (1)
| Label | Occurrences |
|---|---|
| infinite-dimensional Lie 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: infinite-dimensional Lie group
Generated description
An infinite-dimensional Lie group is a group that is also a smooth manifold modeled on an infinite-dimensional topological vector space, such that the group operations (multiplication and inversion) are smooth maps.
Instances (1)
| Instance | Via concept surface |
|---|---|
| Bondi–Metzner–Sachs symmetry | — |