| 書(shū)目名稱 | Mutations of Alternative Algebras | | 編輯 | Alberto Elduque,Hyo Chul Myung | | 視頻video | http://file.papertrans.cn/642/641786/641786.mp4 | | 叢書(shū)名稱 | Mathematics and Its Applications | | 圖書(shū)封面 |  | | 描述 | Around 1978, a mutation of associative algebras was introducedto generalize the formalism of classical mechanics as well as quantummechanics. .This volume presents the first book devoted to a self-contained anddetailed treatment of the mathematical theory of mutation algebras,which is based on research in this subject over the past fifteenyears. The book also deals with a broader class of algebras, mutationsof alternative algebras, which are a natural generalization ofmutations of associative algebras. A complete structure theory,including automorphisms, derivations and certain representations, isgiven for mutations of artinian alternative algebras, and, inparticular, of Cayley--Dickson algebras. Since the mutation algebrasdo not form a variety, the structure theory explored in this volumetakes quite a different approach from the standard theory ofnonassociative algebras and provides an important interplay with thetheory of noncommutative (associative) algebras through mutationparameters. New simple algebras and open problems presented in thisbook will stimulate additional research and applications in the area..This book will be valuable to graduate students, mathematicians andphys | | 出版日期 | Book 1994 | | 關(guān)鍵詞 | algebra; associative algebra; automorphism; classical mechanics; homomorphism; mechanics; matrix theory | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-015-8279-7 | | isbn_softcover | 978-90-481-4373-3 | | isbn_ebook | 978-94-015-8279-7 | | copyright | Springer Science+Business Media Dordrecht 1994 |
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