Local Class Field Theory Contents
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چکیده
1 Wedderburn theory and the Brauer group 2 1.1 Algebras and modules . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 The Brauer group . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.3 Splitting fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.4 Crossed products . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 1.5 Inflation and restriction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 1.6 Cyclic algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
منابع مشابه
Class Field Theory and the Mkr Dictionary for Knots
Contents 1. Introduction 1 2. Some basic facts 2 2.1. Results from algebraic number theory 3 2.2. Results from homological algebra 4 2.3. Ramification theory and the Artin representation 7 3. The perspective of curves 10 3.1. Jacobians and their generalizations 10 3.2. Class field theory 14 3.3. The Artin representation and algebraic curves 15 4. The perspective of arithmetic 16 4.1. Galois coh...
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تاریخ انتشار 2012