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標(biāo)題: Titlebook: Ergodic Theory and Semisimple Groups; Robert J. Zimmer Book 1984 Springer Science+Business Media New York 1984 Arithmetic.Identity.Lattice [打印本頁]

作者: 從未沮喪    時間: 2025-3-21 17:38
書目名稱Ergodic Theory and Semisimple Groups影響因子(影響力)




書目名稱Ergodic Theory and Semisimple Groups影響因子(影響力)學(xué)科排名




書目名稱Ergodic Theory and Semisimple Groups網(wǎng)絡(luò)公開度




書目名稱Ergodic Theory and Semisimple Groups網(wǎng)絡(luò)公開度學(xué)科排名




書目名稱Ergodic Theory and Semisimple Groups被引頻次




書目名稱Ergodic Theory and Semisimple Groups被引頻次學(xué)科排名




書目名稱Ergodic Theory and Semisimple Groups年度引用




書目名稱Ergodic Theory and Semisimple Groups年度引用學(xué)科排名




書目名稱Ergodic Theory and Semisimple Groups讀者反饋




書目名稱Ergodic Theory and Semisimple Groups讀者反饋學(xué)科排名





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Christopher McElroy,Stefan Jennewein over .. If . is a connected semisimple Lie group then we can realize Ad(.) as a subgroup of finite index in the R-points of an R-group (Proposition 3.1.6). We then define R-rank(.) to be the R-rank of this algebraic group. Thus R-rank(.(n, R)) = ., the R-split abelian subgroup of maximal dimension being the diagonal matrices of determinant one.
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Rigidity, over .. If . is a connected semisimple Lie group then we can realize Ad(.) as a subgroup of finite index in the R-points of an R-group (Proposition 3.1.6). We then define R-rank(.) to be the R-rank of this algebraic group. Thus R-rank(.(n, R)) = ., the R-split abelian subgroup of maximal dimension being the diagonal matrices of determinant one.
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Monographs in Mathematicshttp://image.papertrans.cn/e/image/314495.jpg
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https://doi.org/10.1007/978-1-4684-9488-4Arithmetic; Identity; Lattice; algebra; ergodic theory; theorem
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https://doi.org/10.1007/978-3-319-20107-8e shall assume that . is a standard Borel space, i.e., isomorphic as a Borel space to a Borel subset of a complete separable metric space. This includes, of course, many spaces arising naturally in analysis and geometry. If . is a .-finite measure on ., . is called quasi-invariant under the action o
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Le Zhao,Guy W. Sander,Jacqueline V. ShanksIn this section, we shall briefly describe some of the main results we will be proving in the sequel without striving to state results in their maximal generality. Many of the notions used here will be introduced in more detail in the following chapters.
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Tetsuo Asakura,Yu Suzuki,Yasumoto NakazawaThe point of this chapter is to prove the following finiteness theorem of Margulis.
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Inquiry, Engagement, and EducationIn this chapter we indicate how to extend some of the results of the preceding chapters to lattices and actions of groups which are (finite) products of semisimple groups over possibly varying local fields.
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Algebraic Groups and Measure Theory,In this section, we shall review without proof some basic notions concerning algebraic groups. For proofs and further details, we refer to the reader to the standard works on the subject, e.g. [Borel 1], [Humphreys 1], [Chevalley 1], [Borel-Tits 1], [Springer 1], [Steinberg 1].
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,Margulis’ Arithmeticity Theorems,We recall from the introduction the following construction of lattices.
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,Kazhdan’s Property (T),Let . be a locally compact (second countable) group and π:G → U(?) a unitary representation of . on the (separable) Hilbert space ?.Of course,? may or may not contain non-trivial vectors invariant under .(.). We wish to define a notion of . almost containing invariant vectors.
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Instrumented Full Scale Test and Numerical Analysis to Investigate Performance of Bamboo PIle-Mattreamboo piles to act as friction piles and bamboo mattress to distribute embankment load uniformly, to alter critical failure surface, and to provide upward-buoyancy pressure. The system has been utilized in several projects for coastal embankment on soft clay in Indonesia and has been proven reliable
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Bureaucratic Practice as Violence: Managing the List of Dead and Disappeared Prisoners in Brazilow the flow of official communication between the National Mechanism for the Prevention and Combat of Torture, hereafter the MNPCT) and state institutions in Rio Grande do Norte—Rio Grande do Norte Public Prosecutor, Judiciary, and Executive state branches—between January 2017 and November 2018. My
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Gamma-Ray Pulsars, had completed this receiver system to study the newly discovered quasi stellar radio sources and the rapid scintillations that result when radio waves from distant cosmic point sources pass through the turbulent interstellar and interplanetary plasma. One goal was to study the properties of these c
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1876-1100 esearch findings from leading scholars and experienced engin.This book is a compilation of peer-reviewed papers from the 2023 Asia-Pacific International Symposium on Aerospace Technology (APISAT2023). The symposium is a common endeavour among the four national aerospace societies in China, Australia
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Suggestion of an E-proof Environment in Mathematics Education homework. In this paper, a theoretical framework to identify preferences of learners for logical reasoning is presented. This framework determines the structure of the IT-environment. Therefore, a brief introduction to the system is given; benefits, requirements, and constraints as well as further perspectives are discussed.
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Five Ways of Looking at “Ought”far fuzzier than formalist economists tend to claim. At the same time, the social, as opposed to individual, nature of man suggests that values may be somewhat less personal and subjective than a positivist would claim. In the present chapter we discuss alternative ethical positions with a view to supporting our na?ve positivist’s view of ethics.
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Hanna Musiol established a foundation for the study of biophysics related to the following topics:....Perspectives: Complexes in Liquids, 1900–2008....Molecular Theory Applied to Lipid Bilayers and Lipid–Protein Interactions....Membrane Elasticity and Mediated Interactions in Continuum Theory: A Differential Ge
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Nursing, Nurse Education and the National Health Service: A Tripartite Relationship,ery of nursing programmes are examined, including key relationships between the Nursing and Midwifery Council and the Approved Education Institution. The chapter suggests the need for innovative and transformative pedagogies for nurse education, in response to reported failings in care at Mid Staffo
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