Mathematics and Its Applications

Mutations of Alternative Algebras

Authors: Elduque, Alberto, Hyo Chyl Myung

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About this book

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 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.

Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook $149.00
price for USA in USD (gross)
  • ISBN 978-94-015-8279-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.99
price for USA in USD
  • ISBN 978-0-7923-2735-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $199.99
price for USA in USD
  • ISBN 978-90-481-4373-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Mutations of Alternative Algebras
Authors
Series Title
Mathematics and Its Applications
Series Volume
278
Copyright
1994
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-015-8279-7
DOI
10.1007/978-94-015-8279-7
Hardcover ISBN
978-0-7923-2735-6
Softcover ISBN
978-90-481-4373-3
Edition Number
1
Number of Pages
XIV, 226
Topics