The first comprehensive, modern introduction to a central field in modern algebra with connections to algebraic geometry, K-theory, and number theory. It proceeds from the basics to more advanced results, including the Merkurjev-Suslin theorem. It is ideal as a text for a graduate course and as a reference for researchers.
The first comprehensive, modern introduction to a central field in modern algebra with connections to algebraic geometry, K-theory, and number theory. It proceeds from the basics to more advanced results, including the Merkurjev-Suslin theorem. It is ideal as a text for a graduate course and as a reference for researchers.
Philippe Gille is a Research Director for Centre National de la Recherche Scientifique at Institut Camille Jordan, Lyon. He has written numerous research papers on linear algebraic groups and related structures.
Inhaltsangabe
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.
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.
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