Supergroup (physics) (original) (raw)

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dbo:abstract المجموعة الفائقة عبارة عن تعميم لمفهوم المجموعة ضمن جبر هوبف. (ar) The concept of supergroup is a generalization of that of 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. (en)
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rdfs:comment المجموعة الفائقة عبارة عن تعميم لمفهوم المجموعة ضمن جبر هوبف. (ar) The concept of supergroup is a generalization of that of 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. (en)
rdfs:label مجموعة فائقة (ar) Supergroup (physics) (en)
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