Adeles and algebraic groups

作者: André Weil

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摘要: I. Preliminaries on Adele-Geometry.- 1.1. Adeles.- 1.2. Adele-spaces attached to algebraic varieties.- 1.3. Restriction of the basic field.- II. Tamagawa Measures.- 2.1. Preliminaries.- 2.2. The case an variety: local measure.- 2.3. global measure and convergence factors.- 2.4. Algebraic groups numbers.- III. Linear, Projective Symplectic Groups.- 3.1. zeta-function a central division algebra.- 3.2. projective group 3.3. Isogenies.- 3.4. End proof Theorem 3.3.1.: simple algebras.- 3.5. symplectic group.- 3.6. Isogenies for products linear groups.- 3.7. Application some orthogonal hermitian 3.8. IV. other Classical 4.1. Classification general theorems.- 4.2. 4.1.3 (types 01, L2(a), S2).- 4.3. zeta-functions quadratic form.- 4.4. number (hermitian quaternionic cases).- 4.5. Appendix 2. (by T. Ono) A short survey subsequent research numbers.

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