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 therapy of valuation idea on finite-dimensional department algebras, a subject matter of energetic and titanic examine during the last 40 years. Its improvement was once spurred within the final a long time of the 20 th century through very important advances corresponding to Amitsur's building of non crossed items and Platonov's answer of the Tannaka-Artin problem.
This learn is very well timed since it ways the topic from the point of view of linked graded constructions. This new procedure has been constructed through the authors within the previous couple of years and has considerably clarified the speculation. a variety of buildings of department algebras are bought as purposes of the idea, akin to noncrossed items and indecomposable algebras. additionally, using valuation concept in diminished Whitehead crew calculations (after Hazrat and Wadsworth) and in crucial measurement computations (after Baek and Merkurjev) is showcased.
The meant viewers includes graduate scholars and learn mathematicians.
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Value Functions on Simple Algebras, and Associated Graded Rings (Springer Monographs in Mathematics) by Jean-Pierre Tignol,Adrian R. Wadsworth
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