河潭
发表于 2025-3-23 10:32:26
https://doi.org/10.1007/978-3-319-13467-3Baker-Campbell-Hausdorff formula; Cartan-Weyl theory; Lie algebras; Lie groups; representation theory
辞职
发表于 2025-3-23 17:36:42
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使乳化
发表于 2025-3-23 18:54:38
The Matrix ExponentialThe exponential of a matrix plays a crucial role in the theory of Lie groups. The exponential enters into the definition of the Lie algebra of a matrix Lie group (Sect. 3.3) and is the mechanism for passing information from the Lie algebra to the Lie group.
呼吸
发表于 2025-3-24 00:34:33
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寄生虫
发表于 2025-3-24 02:33:40
Compact Lie Groups and Maximal ToriIn this chapter and Chapter . we develop the representation theory of a connected, compact matrix Lie group .. The main result is a “theorem of the highest weight,” which is very similar to our main results for semisimple Lie algebras.
mydriatic
发表于 2025-3-24 10:13:51
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易受骗
发表于 2025-3-24 10:42:24
Fundamental Groups of Compact Lie GroupsIn this section, we briefly review the notion of the fundamental group of a topological space. For a more detailed treatment, the reader should consult any standard book on algebraic topology, such as . Let . be any path-connected Hausdorff topological space and let . be a fixed point in . (the “basepoint”).
联想记忆
发表于 2025-3-24 18:13:59
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Cervical-Spine
发表于 2025-3-24 22:30:20
Graduate Texts in Mathematicshttp://image.papertrans.cn/l/image/585705.jpg
Pcos971
发表于 2025-3-24 23:50:34
Representations of Semisimple Lie Algebraspresentations whose highest weights are the fundamental weights in Definition 8.36. Thus, we require a new method of constructing the irreducible representation of . with a given dominant integral highest weight. This construction will be the main topic of the present chapter.