標(biāo)題: Titlebook: Structure and Geometry of Lie Groups; Joachim Hilgert,Karl-Hermann Neeb Book 2012 Springer Science+Business Media, LLC 2012 Lie algebras.L [打印本頁] 作者: 大小 時間: 2025-3-21 17:39
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書目名稱Structure and Geometry of Lie Groups網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Structure and Geometry of Lie Groups被引頻次
書目名稱Structure and Geometry of Lie Groups被引頻次學(xué)科排名
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書目名稱Structure and Geometry of Lie Groups讀者反饋
書目名稱Structure and Geometry of Lie Groups讀者反饋學(xué)科排名
作者: 血友病 時間: 2025-3-21 21:03
Book 2012f matrix groups, followed by chapters devoted to the basic structure and representation theory of finite dimensinal Lie algebras. They then turn to global issues, demonstrating the key issue of the interplay between differential geometry and Lie theory. Special emphasis is placed on homogeneous spac作者: 向前變橢圓 時間: 2025-3-22 03:08
Representation Theory of Lie Algebrasvenient for several representation theoretic constructions. The Poincaré–Birkhoff–Witt (PBW) Theorem?7.1.9 provides crucial information on the structure of ., including the injectivity of the natural map ..作者: REP 時間: 2025-3-22 08:08 作者: 熔巖 時間: 2025-3-22 10:47
Smooth Manifoldsups rather as a source of examples and will start building the theory of Lie groups from scratch in Chapter?. by defining them as groups which are smooth manifolds for which the group operations are smooth.作者: 富足女人 時間: 2025-3-22 14:23
Normal Subgroups, Nilpotent and Solvable Lie Groupstion, we then address the canonical factorization of a morphism of Lie groups into a surjective, a bijective, and an injective one. In particular, we describe some tools to calculate fundamental groups of Lie groups and homogeneous spaces.作者: Frequency-Range 時間: 2025-3-22 18:20
1439-7382 multilinear algebra.Includes abundant classroom-tested exerc.This self-contained?text is an excellent introduction?to Lie groups and their actions on manifolds. The?authors start with?an elementary?discussion of matrix groups, followed by chapters devoted to the basic structure and representation th作者: Euphonious 時間: 2025-3-22 23:09 作者: Granular 時間: 2025-3-23 03:56 作者: endoscopy 時間: 2025-3-23 08:52
Complex Lie Groupsr condition is automatically satisfied if . is connected). One can show that this is equivalent to . carrying the structure of a complex manifold such that the group operations are holomorphic, but we shall never need this additional structure.作者: nominal 時間: 2025-3-23 10:24 作者: Inflammation 時間: 2025-3-23 16:11 作者: custody 時間: 2025-3-23 21:47 作者: 抵押貸款 時間: 2025-3-24 02:03
Elementary Structure Theory of Lie Algebrasras of matrices, and we shall also see in Chapter?. below how to associate a Lie algebra to any Lie group. This correspondence is the guiding motivation behind the theory of finite-dimensional Lie algebras to which we now turn in some depth.作者: 窗簾等 時間: 2025-3-24 04:57
Representation Theory of Lie Algebrasly plays an important role in structural questions. In this chapter, we first introduce the universal enveloping algebra . of a Lie algebra .. This is a unital associative algebra containing . as a Lie subalgebra and is generated by .. It has the universal property that each representation of . exte作者: Cardiac-Output 時間: 2025-3-24 06:51 作者: ANTE 時間: 2025-3-24 10:40
Basic Lie Theorys (multiplication and inversion) are smooth. Here we use vector fields to build the key tools of Lie theory. The Lie functor which associates a Lie algebra with a Lie group and the exponential function from the Lie algebra to the Lie group. They provide the means to translate global problems into in作者: MINT 時間: 2025-3-24 15:37
Smooth Actions of Lie Groupsomorphic automorphisms of complex domains, or groups of canonical transformations in hamiltonian mechanics. In all these cases, one considers group actions on manifolds by smooth maps. Even though the focus of this book is the geometry and structure theory of Lie groups rather than their application作者: 彈藥 時間: 2025-3-24 22:56 作者: In-Situ 時間: 2025-3-25 00:22 作者: 欄桿 時間: 2025-3-25 03:58
Semisimple Lie Groupsmpact and a vector group, how to complement the commutator group by an abelian Lie group, and that all compact Lie groups are linear. We now proceed with our program to obtain similar results for arbitrary Lie groups with finitely many connected components. First, we turn to the important special ca作者: 自由職業(yè)者 時間: 2025-3-25 11:22 作者: 外表讀作 時間: 2025-3-25 12:26
Complex Lie Groupst this will be enough for our purposes which are of a group theoretic nature. In particular, we define a complex Lie group as a real Lie group . whose Lie algebra . is a complex Lie algebra and for which the adjoint representation maps into the group . of complex linear automorphisms of . (the latte作者: Mnemonics 時間: 2025-3-25 17:30 作者: 加劇 時間: 2025-3-25 20:58 作者: 充氣球 時間: 2025-3-26 02:43 作者: alliance 時間: 2025-3-26 08:02 作者: BLINK 時間: 2025-3-26 10:33
Joachim Hilgert,Karl-Hermann Neeb from basic fundamentals such as statistics, uncertainty and traceability, which are applicable to all types of measurement, through specific guidance on method validation, use of reference materials and control charts. These are all set in the context of total quality management, certification and 作者: 持久 時間: 2025-3-26 12:38
Joachim Hilgert,Karl-Hermann Neebns are those due to the Pauli exclusion principle, Coulomb repulsion, Correlation-Kinetic, and Correlation-Current-Density effects. The framework of Q-DFT is general and the . for both ground and excited states. Furthermore, as is the case in Schr?dinger theory, the time-independent version is a spe作者: Common-Migraine 時間: 2025-3-26 19:10
Joachim Hilgert,Karl-Hermann Neebs defined explicitly in terms of the various electron correlations that must be accounted for by the S system. It is also possible to construct in the framework of Q-DFT, S systems such that the density and energy of both Hartree and Hartree-Fock theories is obtained. In a following chapter we will 作者: Mumble 時間: 2025-3-26 22:08
Joachim Hilgert,Karl-Hermann Neebdürfen absolut neuer theoretischer Grundlagen, um die Struktur der Atomkerne, Kernspektren, Kernreaktionen (Wechselwirkung von Teilchen mit Kernen, Kernspaltung, Kernfusion) und die Stabilit?t von Kernen zu beschreiben, bzw. um Aussagen über Gr??e und Struktur von Elementarteilchen, ihre mechanische作者: 褲子 時間: 2025-3-27 04:07 作者: Keratin 時間: 2025-3-27 05:51 作者: 惡臭 時間: 2025-3-27 12:42 作者: 靦腆 時間: 2025-3-27 17:16
von der Emission von Lichtquanten, von den Zust?nden positiver Energie zu negativer Energie geben. Die Zust?nde positiver Energie w?ren instabil, weil es unendlich viele Zust?nde negativer Energie gibt, in die sie unter Lichtemission übergehen k?nnten — es sei denn, diese Zust?nde w?ren alle besetz作者: PLAYS 時間: 2025-3-27 21:04 作者: 蜿蜒而流 時間: 2025-3-27 23:01 作者: Texture 時間: 2025-3-28 06:03
Joachim Hilgert,Karl-Hermann Neeb von der Emission von Lichtquanten, von den Zust?nden positiver Energie zu negativer Energie geben. Die Zust?nde positiver Energie w?ren instabil, weil es unendlich viele Zust?nde negativer Energie gibt, in die sie unter Lichtemission übergehen k?nnten — es sei denn, diese Zust?nde w?ren alle besetz作者: 徹底檢查 時間: 2025-3-28 09:52
von der Emission von Lichtquanten, von den Zust?nden positiver Energie zu negativer Energie geben. Die Zust?nde positiver Energie w?ren instabil, weil es unendlich viele Zust?nde negativer Energie gibt, in die sie unter Lichtemission übergehen k?nnten — es sei denn, diese Zust?nde w?ren alle besetz作者: 惰性女人 時間: 2025-3-28 13:54
Joachim Hilgert,Karl-Hermann Neeb von der Emission von Lichtquanten, von den Zust?nden positiver Energie zu negativer Energie geben. Die Zust?nde positiver Energie w?ren instabil, weil es unendlich viele Zust?nde negativer Energie gibt, in die sie unter Lichtemission übergehen k?nnten — es sei denn, diese Zust?nde w?ren alle besetz作者: 樹木心 時間: 2025-3-28 16:37 作者: Dri727 時間: 2025-3-28 21:20 作者: Silent-Ischemia 時間: 2025-3-29 01:55 作者: 生命 時間: 2025-3-29 03:32 作者: irreducible 時間: 2025-3-29 08:03
Introduction,To locate the theory of Lie groups within mathematics, one can say that Lie groups are groups with some additional structure that permits us to apply analytic techniques such as differentiation in a group theoretic context.作者: 葡萄糖 時間: 2025-3-29 11:47 作者: 與野獸博斗者 時間: 2025-3-29 16:55 作者: 良心 時間: 2025-3-29 21:25
Springer Monographs in Mathematicshttp://image.papertrans.cn/t/image/880221.jpg作者: 假 時間: 2025-3-30 00:59
https://doi.org/10.1007/978-0-387-84794-8Lie algebras; Lie groups; differentiable manifold; homogeneous space; invariant geometric space; matrix g作者: 執(zhí)拗 時間: 2025-3-30 06:18 作者: 武器 時間: 2025-3-30 12:05 作者: explicit 時間: 2025-3-30 15:12
Linear Lie Groupshe ... This subspace carries an additional algebraic structure because, for ., the commutator [.,.]=.?. is contained in ., so that [?,?] defines a skew-symmetric bilinear operation on .. As a first step, we shall see how to calculate . for concrete groups and to use it to generalize the polar decomposition to a large class of linear Lie groups.作者: Aerate 時間: 2025-3-30 18:15
Elementary Structure Theory of Lie Algebrasras of matrices, and we shall also see in Chapter?. below how to associate a Lie algebra to any Lie group. This correspondence is the guiding motivation behind the theory of finite-dimensional Lie algebras to which we now turn in some depth.作者: 漂泊 時間: 2025-3-30 22:58 作者: Ingenuity 時間: 2025-3-31 01:06
978-1-4899-9006-8Springer Science+Business Media, LLC 2012作者: RAGE 時間: 2025-3-31 06:01
