Physical description 
1 online resource (xiii, 226 pages). 
Series 
Mathematics and Its Applications ; 278 

Mathematics and Its Applications ; 278.

Summary 
Around 1978, a mutation of associative algebras was introduced to generalize the formalism of classical mechanics as well as quantum mechanics. This volume presents the first book devoted to a selfcontained 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 CayleyDickson 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. 
Other author 
Myung, Hyo Chul.

Subject 
Mathematics.


Algebra.


Matrix theory.


Mechanics.


Electronic books. 
ISBN 
9789401582797 (electronic bk.) 

9401582793 (electronic bk.) 

9789048143733 

904814373X 

9401582793 
