central extension

C43711
concept

A central extension is a group (or algebraic structure) formed by inserting an additional central subgroup into another group so that the original group is recovered as the quotient by this central part.

All labels observed (1)

Label Occurrences
central extension 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: central extension
Generated description
A central extension is a group (or algebraic structure) formed by inserting an additional central subgroup into another group so that the original group is recovered as the quotient by this central part.

Instances (1)

Instance Via concept surface
Heisenberg Lie algebra