This study is particularly timely because it approaches the subject from the perspective of associated graded structures. This new approach has been developed by the authors in the last few years and has significantly clarified the theory. Various constructions of division algebras are obtained as applications of the theory, such as noncrossed products and indecomposable algebras. In addition, the use of valuation theory in reduced Whitehead group calculations (after Hazrat and Wadsworth) and in essential dimension computations (after Baek and Merkurjev) is showcased.
The intended audience consists of graduate students and research mathematicians.
This study is particularly timely because it approaches the subject from the perspective of associated graded structures. This new approach has been developed by the authors in the last few years and has significantly clarified the theory. Various constructions of division algebras are obtained as applications of the theory, such as noncrossed products and indecomposable algebras. In addition, the use of valuation theory in reduced Whitehead group calculations (after Hazrat and Wadsworth) and in essential dimension computations (after Baek and Merkurjev) is showcased.
The intended audience consists of graduate students and research mathematicians.
![Value Functions on Simple Algebras, and Associated Graded Rings](http://img.images-bn.com/static/redesign/srcs/images/grey-box.png?v11.10.4)
Value Functions on Simple Algebras, and Associated Graded Rings
643![Value Functions on Simple Algebras, and Associated Graded Rings](http://img.images-bn.com/static/redesign/srcs/images/grey-box.png?v11.10.4)
Value Functions on Simple Algebras, and Associated Graded Rings
643Product Details
ISBN-13: | 9783319163598 |
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Publisher: | Springer International Publishing |
Publication date: | 04/03/2015 |
Series: | Springer Monographs in Mathematics |
Edition description: | 2015 |
Pages: | 643 |
Product dimensions: | 6.10(w) x 9.25(h) x (d) |