不给啤
发表于 2025-3-23 21:56:51
The Method of Orbitsclosely connected with a certain special finite-dimensional representation of this group. This representation acts in the dual space {{g}}* of the Lie algebra {{g}} of the group under study. We will call it a [] or briefly a []
foliage
发表于 2025-3-24 00:01:20
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滴注
发表于 2025-3-24 05:36:30
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indenture
发表于 2025-3-24 08:07:39
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Cuisine
发表于 2025-3-24 11:07:42
https://doi.org/10.1007/978-1-349-02154-3Proofs of the facts given in this section, along with more information, can be found in the textbook of S. Lang and also in the treatise of N. Bourbaki .
乞讨
发表于 2025-3-24 15:18:40
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Prologue
发表于 2025-3-24 22:43:08
https://doi.org/10.1007/978-981-13-3372-9Sets 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.
CURT
发表于 2025-3-25 01:34:36
https://doi.org/10.1007/978-3-031-57683-6A set G is called a Lie group if it is a topological group and a smooth manifold for which the mapping ., given by φ(.)=. is smooth.
BARGE
发表于 2025-3-25 07:09:36
Jaspreet Kaur,Manishi Mukesh,Akshay AnandWe 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.
fulcrum
发表于 2025-3-25 11:13:09
https://doi.org/10.1007/978-3-319-07944-8One of the principal problems of the theory of representations is the problem of decomposing representations of a group . into the simplest possible components.