By Jean-Pierre Tignol,Adrian R. Wadsworth

ISBN-10: 3319163590

ISBN-13: 9783319163598

ISBN-10: 3319355872

ISBN-13: 9783319355870

This monograph is the 1st book-length remedy of valuation concept on finite-dimensional department algebras, an issue of energetic and big study during the last 40 years. Its improvement used to be spurred within the final many years of the 20 th century by way of very important advances similar to Amitsur's building of non crossed items and Platonov's answer of the Tannaka-Artin problem.

This examine is especially well timed since it techniques the topic from the point of view of linked graded constructions. This new process has been built through the authors within the previous couple of years and has considerably clarified the idea. quite a few structures of department algebras are acquired as purposes of the speculation, equivalent to noncrossed items and indecomposable algebras. additionally, using valuation thought in lowered Whitehead workforce calculations (after Hazrat and Wadsworth) and in crucial measurement computations (after Baek and Merkurjev) is showcased.

The meant viewers involves graduate scholars and learn mathematicians.