勉励 发表于 2025-3-26 21:00:33
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Analysis on ManifoldsSets with structure locally like Euclidean spaces are called manifolds. This property enables us to introduce local systems of coordinates on manifolds and to employ the apparatus of mathematical analysis. A precise definition of manifold follows.审问,审讯 发表于 2025-3-27 10:53:22
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Representations of GroupsWe have already stated . that the term “representation” in the wide sense means a homomorphism of the group . into the group of one-to-one mappings of a certain set . onto itself.,A representation . is called . if . is a linear space and the mappings . are linear operators.粘土 发表于 2025-3-27 19:15:56
Decomposition of RepresentationsOne of the principal problems of the theory of representations is the problem of decomposing representations of a group . into the simplest possible components.alabaster 发表于 2025-3-28 01:13:02
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CharactersBy the character of a finite-dimensional representation T of a group G, we mean the function异教徒 发表于 2025-3-28 09:02:54
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