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標題: Titlebook: Lie Groups, Lie Algebras, and Representations; An Elementary Introd Brian C. Hall Textbook 2015Latest edition Springer International Publis [打印本頁]

作者: 重婚    時間: 2025-3-21 19:03
書目名稱Lie Groups, Lie Algebras, and Representations影響因子(影響力)




書目名稱Lie Groups, Lie Algebras, and Representations影響因子(影響力)學科排名




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書目名稱Lie Groups, Lie Algebras, and Representations網絡公開度學科排名




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書目名稱Lie Groups, Lie Algebras, and Representations被引頻次學科排名




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書目名稱Lie Groups, Lie Algebras, and Representations年度引用學科排名




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書目名稱Lie Groups, Lie Algebras, and Representations讀者反饋學科排名





作者: 比目魚    時間: 2025-3-21 21:59

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作者: 等級的上升    時間: 2025-3-22 12:37
The Baker–Campbell–Hausdorff Formula and Its Consequencessociated Lie algebra notion. In this chapter, we attempt to go in the “hard” direction, from the Lie algebra to the Lie group. We will investigate three questions relating to the preceding three theorems.
作者: 項目    時間: 2025-3-22 14:16
Semisimple Lie Algebrasally, in Chapter?10, we consider several additional properties of the representations constructed in Chapter?9. Meanwhile, in Chapters?11 and?12, we consider representation theory from the closely related viewpoint of compact Lie groups.
作者: 控制    時間: 2025-3-22 19:50
The Representations of result of this chapter is Theorem?., which states that an irreducible finite-dimensional representation of . can be classified in terms of its “highest weight.” This result is analogous to the results of Sect.?., in which we classify the irreducible representations by the largest eigenvalue of .(.), namely the non-negative integer?..
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作者: 投票    時間: 2025-3-23 01:48
978-3-319-37433-8Springer International Publishing Switzerland 2015
作者: 個人長篇演說    時間: 2025-3-23 09:37

作者: 河潭    時間: 2025-3-23 10:32
https://doi.org/10.1007/978-3-319-13467-3Baker-Campbell-Hausdorff formula; Cartan-Weyl theory; Lie algebras; Lie groups; representation theory
作者: 辭職    時間: 2025-3-23 17:36

作者: 使乳化    時間: 2025-3-23 18:54
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.
作者: 呼吸    時間: 2025-3-24 00:34

作者: 寄生蟲    時間: 2025-3-24 02:33
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.
作者: mydriatic    時間: 2025-3-24 10:13

作者: 易受騙    時間: 2025-3-24 10:42
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 [Hat, Chapter 1]. Let . be any path-connected Hausdorff topological space and let . be a fixed point in . (the “basepoint”).
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作者: Cervical-Spine    時間: 2025-3-24 22:30
Graduate Texts in Mathematicshttp://image.papertrans.cn/l/image/585705.jpg
作者: Pcos971    時間: 2025-3-24 23:50
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.
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作者: 省略    時間: 2025-3-25 23:16
Brian Halllite, with privileges in terms of remuneration levels and security of advancement. However, developments such as financial deregulation and the after effects of the bubble economy have driven Japan’s financial sector into an ongoing period of reorganization. Finally, retailing represents consumer-or
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作者: 臆斷    時間: 2025-3-26 17:21
before the national disaster? Was it resolved by the replacement of the top leader in power by Abe Shinzo whose LDP swept the general election in December 2012? Or, was the indecisiveness in crisis management more structural in the sense that regardless of who is prime minister, or which party is in
作者: 貧困    時間: 2025-3-26 22:57

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作者: Pastry    時間: 2025-3-27 20:33
incidence that the keyword of current political discourse in Russia is .. In Russia’s case, broad definitions of modernization, in our view, are most appropriate. For example, philosopher Vitaly Tolstykh defines modernization as a country’s readiness to respond to the challenges of the globalization
作者: expository    時間: 2025-3-27 22:14
Brian Hallid that Noda has survived slightly longer in part because of his success in legislating a tax hike. As of October 2012, his popularity ratings hover around 20–25 percent. But the trend looks the same. Sooner or later another prime minister will make his entrance. Rather than trying to give some expl
作者: 使成核    時間: 2025-3-28 05:02

作者: concubine    時間: 2025-3-28 07:00
Brian Hallincidence that the keyword of current political discourse in Russia is .. In Russia’s case, broad definitions of modernization, in our view, are most appropriate. For example, philosopher Vitaly Tolstykh defines modernization as a country’s readiness to respond to the challenges of the globalization
作者: Constrain    時間: 2025-3-28 12:10
Brian C. Hallral culture is partly to be found within the documents which have been written over the past two decades about bioethical problems on a European level. There have been major efforts by the . and by the . to reach a consensus about bioethical issues and policies among their member countries. Especial
作者: Biofeedback    時間: 2025-3-28 17:06
ese: The Dignity of Death, edited by Kazumasa Hoshino. Selections from those materials have been reworked for an English audience and now appear, along with new essays, in this volume. The field of comparative bioethics is only in its infancy. We are deeply grateful to Prof. Kazumasa Hoshino, one of
作者: 擁擠前    時間: 2025-3-28 20:33
gh an increasing number of companies have proclaimed gender equality, the reality is that many companies have superficial systems and policies on their books that have not been utilized in practice. The employment system has a significant impact on women in the workforce. It is critical to improve t
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Brian Hall Arab origin and perhaps to have been motivated by so-called ‘Islamic fundamentalism’. The attackers seem in any case to have shared a group-dominated, essentially totalitarian mentality, which I shall call ‘groupism’. In that sense, the horrendous tragedy can be seen as a manifestation of the confl
作者: 窩轉脊椎動物    時間: 2025-3-29 17:37
Brian C. Hallme, is not something that domestic factors alone can explain. The most notable event is the 2008 collapse of the economic bubble in the United States, which followed a militarily aggressive and financially extravagant unipolar and unilateral period led by George W. Bush, Jr. Also, one cannot forget
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