Topological Methods in Galois Representation Theory (eBook)

Victor P. Snaith (Autor)

eBook Download: EPUB

2013
320 Seiten
Dover Publications (Verlag)
978-0-486-78227-0 (ISBN)

Infos

This advanced monograph on Galois representation theory by a renowned algebraist covers abelian and nonabelian cohomology of groups, characteristic classes of forms and algebras, explicit Brauer induction theory, more. 1989 edition.

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This advanced monograph on Galois representation theory was written by one of the world's leading algebraists. Directed at mathematics students who have completed a graduate course in introductory algebraic topology, it offers a full treatment of the subject. The first four chapters cover characteristic classes of Galois representations whose values lie in mod 2 Galois cohomology: abelian cohomology of groups, nonabelian cohomology of groups, characteristic classes of forms and algebras, and higher-dimensional characteristic classes of bilinear forms and Galois representations. Subsequent chapters explore stable homotopy and induced representations, explicit Brauer induction theory, and applications of explicit Brauer induction to Artin root numbers and local root numbers.

Autor

Victor P. Snaith is Professor Emeritus at the School of Mathematics and Statistics, University of Sheffield, United Kingdom. He is the author and editor of more than a dozen books, including Groups, Rings and Galois Theory.

Inhalt

Preface1. Abelian Cohomology of Groups2. Nonabelian Cohomology of Groups3. Characteristics Classes of Forms and Algebras4. Higher-Dimensional Characteristic Classes of Bilinear Forms and Galois Representations5. Stable Homotopy and Induced Representations6. Explicit Brauer Induction Theory7. Applications of Explicit Brauer Induction to Artin Root Numbers and Local Root NumbersReferencesIndex

Produkt-Details

• Erscheint lt. Verlag: 3.12.2013
• Reihe/Serie: Dover Books on Mathematics
• Sprache: englisch
• Maße: 160 x 160 mm
• Themenwelt: Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
• Schlagworte: academic • Algebra • algebraic topology • brauer induction • Career • cohomology • college math • College Students • College Studies • dover, dover books, dover books on mathematics, topological methods in galois representation theory, galois representation theory, topological methods, mathematical method, science and math, algebraic topology, mathematics, math students, algebra, academic, grad students, educational, college math, math theory, college students, college studies, engaging, career, realistic, theoretical, experiments, phenomenon, students and teachers • Educational • engaging • experiments • finite groups • Galois Representation Theory • grad students • group theory • mathematical method • math students • math theory • phenomenon • Realistic • science and math • students and teachers • Theoretical • topological methods
• ISBN-10: 0-486-78227-1 / 0486782271
• ISBN-13: 978-0-486-78227-0 / 9780486782270