Editing Supergroup (physics) (section)

{{Short description|Algebraic structure used in theoretical physics}}
The concept of '''supergroup''' is a [[generalization]] of that of [[group (mathematics)|group]]. In other words, every supergroup carries a natural group structure, but there may be more than one way to structure a given group as a supergroup. A supergroup is like a [[Lie group]] in that there is a well defined notion of [[smooth function]] defined on them. 
However the functions may have even and odd parts. Moreover, a supergroup has a [[super Lie algebra]] which plays a role similar to that of a [[Lie algebra]] for Lie groups in that they determine most of the [[representation theory]] and which is the starting point for classification.