Math 2.0

Global analysis, analysis on manifolds Concept

Lie supergroup

Summary

A Lie supergroup is a group object in the category of supermanifolds: a supermanifold with multiplication, inverse and unit morphisms satisfying the group laws. It is the analogue of a Lie group in which some coordinates are anticommuting, or odd. Its infinitesimal version is a Lie superalgebra, and Lie supergroups describe supersymmetry in physics.

Further reading

  1. Web https://en.wikipedia.org/wiki/Supergroup_(physics)
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MSC58A50, 22E99
Changed2 November 2026

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