Algebraic Groups And Discontinuous Subgroups
E-Book Information
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Pages: 424
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Pages In File: 424
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Language: English
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Topic: 114
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Library: Techlib
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Issue: 2009-11
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Org File Size: 28,839,191
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Extension: pdf
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Toc: Endmatter......Page 0 Title......Page 1 Copyright......Page 2 Foreword......Page 3 Contents......Page 4 I. Algebraic Groups, Arithmetic Groups......Page 7 Linear Algebraic Groups by A. Borel......Page 8 Reduction Theory for Arithmetic Groups by A. Borel......Page 25 Rationality Properties of Linear Algebraic Groups by A. Borel and T. A. Springer......Page 31 Classification of Algebraic Semisimple Groups by J. Tits......Page 38 $\mathfrak {p}$-adic Groups by F. Bruhat......Page 68 Generalized Tits System (Bruhat Decomposition)....by N. Iwahori......Page 76 On Rational Points on Projective Varieties....by T. Tamagawa......Page 89 Groups over $Z$ by B. Kostant......Page 95 Subgroups of Finite Index in Certain Arithmetic Groups by H. Matsumoto......Page 104 The Problem of the Maximality of Arithmetic Groups by N. D. Allan......Page 109 II. Arithmetic Properties of Algebraic Groups. Adele Groups......Page 115 Adeles by T. Tamagawa......Page 116 On Tamagawa Numbers by T. Ono......Page 125 The Siegel Formula for Orthogonal Groups. I by J.G.M. Mars......Page 136 The Siegel Formula for Orthogonal Groups. II by J.G.M. Mars......Page 141 The Volume of the Fundamenta