Central Simple Algebras and Galois Cohomology

ISBN-13: 9781316609880 / Angielski / Miękka / 2017 / 430 str.

Philippe Gille; Tamas Szamuely

Opis

The first comprehensive modern introduction to central simple algebra starting from the basics and reaching advanced results.

Spis treści

1. Quaternion algebras; 2. Central simple algebras and Galois descent; 3. Techniques from group cohomology; 4. The cohomological Brauer group; 5. Severi–Brauer varieties; 6. Residue maps; 7. Milnor K-theory; 8. The Merkurjev–Suslin theorem; 9. Symbols in positive characteristic; Appendix. A breviary of algebraic geometry; Bibliography; Index.