株式会社極東書店トップ ＞ 商品一覧 ＞ Value Functions on Simple Algebras, and Associated Graded Rings. 2015 ed..
商品詳細
Value Functions on Simple Algebras, and Associated Graded Rings. 2015 ed..
・ISBN 978-3-319-16359-8 hard EUR 99.99
￥26,726.- (税込) ※（※）価格はご注文時の参考価格となります。
納品価格につきましては書籍の入荷時点で確定となります。
版元の原価改定、外国為替の変動等により異なる場合がございますので、予めご了承下さい。
| 著者・編者 | Tignol, Jean-Pierre / Wadsworth, Adrian R., |
|---|---|
| シリーズ | Springer Monographs in Mathematics |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2015 |
| ページ数 | 643 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-19357＞ |
解説
This monograph is the first book-length treatment of valuation theory on finite-dimensional division algebras, a subject of active and substantial research over the last forty years. Its development was spurred in the last decades of the twentieth century by important advances such as Amitsur's construction of non crossed products and Platonov's solution of the Tannaka-Artin problem.
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.