|
Автор: Guillot PierreНазвание: Gentle Course in Local Class Field TheoryISBN: 9781108432245Издательство: Cambridge AcademКлассификация:
ISBN-10: 1108432247
Обложка/Формат: PaperbackСтраницы: 306 Вес: 0.48 кг. Дата издания: 01.11.2018Серия: Mathematics Язык: English Иллюстрации: Worked examples or exercises; 00 printed music items; 00 tables, unspecified; 00 tables, color; 00 tables, black and white; 00 plates, unspecified; 00 plates, color; 00 plates, black and white; 00 maps; 00 halftones, unspecified; 00 halftones, color; Размер: 175 x 247 x 21 Читательская аудитория: Tertiary education (us: college) Ключевые слова: Algebra,Number theory,Algebraic geometry,Algebraic topology, MATHEMATICS / Number Theory Подзаголовок: Local number fields, brauer groups, galois cohomologyРейтинг: Поставляется из: Англии Описание: This book offers a self-contained exposition of local class field theory, serving as a second course on Galois theory. It opens with a discussion of several fundamental topics in algebra, such as profinite groups, p-adic fields, semisimple algebras and their modules, and homological algebra with the example of group cohomology. The book culminates with the description of the abelian extensions of local number fields, as well as the celebrated Kronecker–Weber theory, in both the local and global cases. The material will find use across disciplines, including number theory, representation theory, algebraic geometry, and algebraic topology. Written for beginning graduate students and advanced undergraduates, this book can be used in the classroom or for independent study.
|
