Alberto Elduque's Books

Gradings on Simple Lie Algebras

By: Alberto Elduque,Mikhail Kochetov

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Gradings on Simple Lie Algebras

By: Alberto Elduque,Mikhail Kochetov

This monograph is a self-contained exposition of the classification of gradings by arbitrary groups on classical simple Lie algebras over algebraically closed fields of characteristic not equal to 2 as well as on some non-classical simple Lie algebras in positive characteristic. Other important algebras also enter the stage: matrix algebras, the octonions, and the Albert algebra. Most of the presented results are recent and have not yet appeared in book form.

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Page Count

355

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821898469

ISBN 13

9780821898468

Mutations of Alternative Algebras

By: Alberto Elduque,Hyo Chyl Myung

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Mutations of Alternative Algebras

By: Alberto Elduque,Hyo Chyl Myung

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.

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Page Count

238

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9401582793

ISBN 13

9789401582797

Mutations of Alternative Algebras

By: Alberto Elduque,Hyo Chyl Myung

Write a review Read reviews Take a Quiz Solve Book Puzzle

Mutations of Alternative Algebras

By: Alberto Elduque,Hyo Chyl Myung

Average ratings

N/A

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Solve jigsaw puzzle

Age

Page Count

238

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9401582793

ISBN 13

9789401582797

Gradings on Simple Lie Algebras

By: Alberto Elduque,Mikhail Kochetov

Write a review Read reviews Take a Quiz Solve Book Puzzle

Gradings on Simple Lie Algebras

By: Alberto Elduque,Mikhail Kochetov

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

355

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821898469

ISBN 13

9780821898468

Book's by Alberto Elduque

Gradings on Simple Lie Algebras

Gradings on Simple Lie Algebras

Mutations of Alternative Algebras

Mutations of Alternative Algebras

Mutations of Alternative Algebras

Mutations of Alternative Algebras

Gradings on Simple Lie Algebras

Gradings on Simple Lie Algebras

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