Talk:Supergroup (physics)

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This article should explain the claimed generalization of arbitrary groups, not just Lie groups. - 72.58.19.66 09:27, 8 May 2006 (UTC)

[edit] every group is a supergroup but not every supergroup is a group

You can not say so. What perhaps really is meant by this statement is that, a supergroup corresponds to each group in a definite way, and that not every supergroup can be obtained in this way. By the way, this does not logicaly exclude the converse. That is there may still exists some other way by which a group corresponds to each supergroup. Tamokk

I think the statement "every group is a supergroup but not every supergroup is a group" is fair enough. Rigorously speaking, ordinary groups are a full subcategory of supergroups (in a natural way). That is just as true as any other similar statement in mathematics e.g. any group is a semi-group but not vice versa, any field is a ring but not vice versa, etc. Top.Squark 20:58, 4 April 2007 (UTC)

[edit] Why physics?

I do not understand why this article is categorized as physics. Supergroups are a mathematical concept. They have great importance in physics, they originate from physics (like many other mathematical concepts, e.g. calculus, generalized functions, quantum groups etc.) but they are nevertheless an entirely abstract notion, independant of whatever physical model one can try to fit it in. It was perhaps true to classify it as "physics" when it was only invented and no rigorous mathematical definition was available, but not now. Top.Squark 20:58, 4 April 2007 (UTC)