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• => ULTIMATE SYMMETRY - I.3 Symmetry and Group Theory

... equivalent to differentiable manifolds. In contrast, discrete symmetries are described by finite groups. In either case, the representation of symmetries by groups can significantly simplify ...

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• => ULTIMATE SYMMETRY - I.3.3 Group Theory and Symmetry

... roups was performed in the second half of the 20th century. From these simple groups, all finite groups can be built. On the other hand, the theory of Lie groups deals with the continuous sy ...

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• => ULTIMATE SYMMETRY - I.3.5 Group Representation

... cally closed ones. The characteristic of the field is also significant; many theorems for finite groups depend on the characteristic of the field not dividing the order of the group. There a ...

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