Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (5 chapters)
-
Front Matter
-
Back Matter
About this book
This volume presents the first book devoted to a self-contained and detailed treatment of the mathematical theory of mutation algebras, which is based on research in this subject over the past fifteen years. The book also deals with a broader class of algebras, mutations of alternative algebras, which are a natural generalization of mutations of associative algebras. A complete structure theory, including automorphisms, derivations and certain representations, is given for mutations of artinian alternative algebras, and, in particular, of Cayley--Dickson algebras. Since the mutation algebras do not form a variety, the structure theory explored in this volume takes quite a different approach from the standard theory of nonassociative algebras and provides an important interplay with the theory of noncommutative (associative) algebras through mutation parameters. New simple algebras and open problems presented in this book will stimulate additional research and applications in the area.
This book will be valuable to graduate students, mathematicians and physicists interested in applications of algebras.
Authors and Affiliations
-
Department of Mathematics, University of Zaragoza, Zaragoza, Spain
Alberto Elduque
-
Department of Mathematics, University of Northern Iowa, Cedar Falls, USA
Hyo Chul Myung
Bibliographic Information
Book Title: Mutations of Alternative Algebras
Authors: Alberto Elduque, Hyo Chul Myung
Series Title: Mathematics and Its Applications
DOI: https://doi.org/10.1007/978-94-015-8279-7
Publisher: Springer Dordrecht
-
eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media Dordrecht 1994
Hardcover ISBN: 978-0-7923-2735-6Published: 31 March 1994
Softcover ISBN: 978-90-481-4373-3Published: 15 December 2010
eBook ISBN: 978-94-015-8279-7Published: 06 December 2012
Edition Number: 1
Number of Pages: XIV, 226
Topics: Non-associative Rings and Algebras, Associative Rings and Algebras, Theoretical, Mathematical and Computational Physics, Linear and Multilinear Algebras, Matrix Theory, Classical Mechanics