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Titlebook: Harmonic Analysis and Representations of Semisimple Lie Groups; Lectures given at th J. A. Wolf,M. Cahen,M. Wilde Book 1980 D. Reidel Publi

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發(fā)表于 2025-3-21 18:28:29 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Harmonic Analysis and Representations of Semisimple Lie Groups
副標(biāo)題Lectures given at th
編輯J. A. Wolf,M. Cahen,M. Wilde
視頻videohttp://file.papertrans.cn/425/424271/424271.mp4
叢書名稱Mathematical Physics and Applied Mathematics
圖書封面Titlebook: Harmonic Analysis and Representations of Semisimple Lie Groups; Lectures given at th J. A. Wolf,M. Cahen,M. Wilde Book 1980 D. Reidel Publi
描述This book presents the text of the lectures which were given at the NATO Advanced Study Institute on Representations of Lie groups and Harmonic Analysis which was held in Liege from September 5 to September 17, 1977. The general aim of this Summer School was to give a coordinated intro- duction to the theory of representations of semisimple Lie groups and to non-commutative harmonic analysis on these groups, together with some glance at physical applications and at the related subject of random walks. As will appear to the reader, the order of the papers - which follows relatively closely the order of the lectures which were actually give- follows a logical pattern. The two first papers are introductory: the one by R. Blattner describes in a very progressive way a path going from standard Fourier analysis on IR" to non-commutative harmonic analysis on a locally compact group; the paper by J. Wolf describes the structure of semisimple Lie groups, the finite-dimensional representations of these groups and introduces basic facts about infinite-dimensional unitary representations. Two of the editors want to thank particularly these two lecturers who were very careful to pave the way fo
出版日期Book 1980
關(guān)鍵詞calculus; differential equation; fourier analysis; harmonic analysis
版次1
doihttps://doi.org/10.1007/978-94-009-8961-0
isbn_ebook978-94-009-8961-0
copyrightD. Reidel Publishing Company, Dordrecht, Holland 1980
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發(fā)表于 2025-3-21 22:23:09 | 只看該作者
Random Walks on Lie GroupsWe present in this paper a limited selection of topics intended to introduce the reader to the subject of random walks on Lie groups. The selection has been highly individual and makes no pretense of completeness. For a more comprehensive view of the area the reader should consult [1,8–10].
板凳
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地板
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A Geometric Construction of the Discrete Series for Semisimple Lie Groups.) decomposes as a countable direct sum of irreducibles with finite multiplicity. For compact connected Lie groups this becomes much more concrete: the irreducibles are explicitly known, their characters are given by the famous Hermann Weyl formula, and there is a uniform geometrical construction for them due to Borel and Weil.
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發(fā)表于 2025-3-22 15:28:23 | 只看該作者
Introduction to the 1-Cohomology of Lie Groups . in ?. A 1-cocycle on . with values in the .-module ? is a continuous mapping .: .? such that.for every ., .’ ∈ .. We denote by ..(.) the space of the 1-cocycles on . with values in ? and by ..(.) the space of the coboundaries (i.e. the space of the 1-cocycles of the form ..= ... ? . for a given . ∈ ?).
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Physical Applications Related to Differentiable Deformations of Poisson Brackets: Quantum Mechanicsl nevertheless show in this chapter that one can give an . phase-space formulation of quantum mechanics, in the framework of which computations can be made, and for which quantum mechanics will appear naturally as a differentiable deformation of classical mechanics. Quantization will manifest itself
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Robert J. Blattnerion, and adjusted Clarke mechanism. All these mechanisms are efficient, budget-balanced, and individual rational. We evaluated these five payoff mechanisms on the following criteria: stability, incentive compatibility, and fairness. We introduce a fairness criteria that correlates with marginal cont
9#
發(fā)表于 2025-3-23 02:08:07 | 只看該作者
ion, and adjusted Clarke mechanism. All these mechanisms are efficient, budget-balanced, and individual rational. We evaluated these five payoff mechanisms on the following criteria: stability, incentive compatibility, and fairness. We introduce a fairness criteria that correlates with marginal cont
10#
發(fā)表于 2025-3-23 05:45:57 | 只看該作者
V. S. Varadarajansts and adapt its bidding behaviour for the various internal quality levels accordingly. To this end, in this paper, we develop a reinforcement learning and Boltzmann exploration strategy that the recommending agents can exploit for these tasks. We then demonstrate that this strategy helps the agent
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