Central Simple Algebras and Galois Cohomology (Cambridge by Philippe Gille,Tamás Szamuely

By Philippe Gille,Tamás Szamuely

This publication is the 1st accomplished, smooth creation to the idea of imperative uncomplicated algebras over arbitrary fields. ranging from the fundamentals, it reaches such complex effects because the Merkurjev-Suslin theorem. This theorem is either the fruits of labor initiated via Brauer, Noether, Hasse and Albert and the start line of present study in motivic cohomology concept via Voevodsky, Suslin, Rost and others. Assuming just a stable history in algebra, yet no homological algebra, the e-book covers the elemental thought of valuable basic algebras, tools of Galois descent and Galois cohomology, Severi-Brauer forms, residue maps and, eventually, Milnor K-theory and K-cohomology. The final bankruptcy rounds off the idea by means of featuring the consequences in optimistic attribute, together with the concept of Bloch-Gabber-Kato. The e-book is acceptable as a textbook for graduate scholars and as a reference for researchers operating in algebra, algebraic geometry or K-theory.

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