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図書
図書
1. Kazhdan's property (T) (: hardback)
Bachir Bekka, Pierre de la Harpe and Alain Valette
出版情報: Cambridge [England] : Cambridge University Press, 2008  xiii, 472 p. ; 24 cm
シリーズ名: New mathematical monographs ; 11
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Introduction
KazhdanÆs Property (T) / Part I：
Property (T) / 1：
Property (FH) / 2：
Reduced Cohomology / 3：
Bounded generation / 4：
A spectral criterion for Property (T) / 5：
Some applications of Property (T) / 6：
A short list of open questions / 7：
Background on Unitary Representations / Part II：
Unitary group representations / A：
Measures on homogeneous spaces / B：
Functions of positive type / C：
Representations of abelian groups / D：
Induced representations / E：
Weak containment and Fell topology / F：
Amenability / G：
Appendix
Bibliography
List of symbols
Index
Introduction
KazhdanÆs Property (T) / Part I：
Property (T) / 1：
2.

図書
図書
2. Ergodic theory and topological dynamics of group actions on homogeneous spaces
M. Bachir Bekka, Matthias Mayer
出版情報: Cambridge : Cambridge University Press, 2000  x, 200 p. ; 23 cm
シリーズ名: London Mathematical Society lecture note series ; 269
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Preface
Ergodic Systems / I.：
Examples and Basic Results / 1：
Ergodic Theory and Unitary Representations / 2：
Invariant Measures and Unique Ergodicity / 3：
The Geodesic Flow of Riemannian Locally Symmetric Spaces / II.：
Some Hyperbolic Geometry
Lattices and Fundamental Domains
The Geodesic Flow of Compact Riemann Surfaces
The Geodesic Flow on Riemannian Locally Symmetric Spaces / 4：
The Vanishing Theorem of Howe and Moore / III.：
Howe--Moore's Theorem
Moore's Ergodicity Theorems
Counting Lattice Points in the Hyperbolic Plane
Mixing of All Orders
The Horocycle Flow / IV.：
The Horocycle Flow of a Riemann Surface
Proof of Hedlund's Theorem--Cocompact Case
Classification of Invariant Measures
Equidistribution of Horocycle Orbits
Siegel Sets, Mahler's Criterion and Margulis' Lemma / V.：
Siegel Sets in SL(n, R)
SL(n, Z) is a lattice in SL(n, R)
Mahler's Criterion
Reduction of Positive Definite Quadratic Forms
Margulis' Lemma / 5：
An Application to Number Theory: Oppenheim's Conjecture / VI.：
Oppenheim's Conjecture
Proof of the Theorem--Preliminaries
Existence of Minimal Closed Subsets
Orbits of One-Parameter Groups of Unipotent Linear Transformations
Proof of the Theorem--Conclusion
Ratner's Results on the Conjectures of Raghunathan, Dani and Margulis / 6：
Bibliography
Index
Preface
Ergodic Systems / I.：
Examples and Basic Results / 1：
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