Mutations of Alternative Algebras:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1994
|
| Schriftenreihe: | Mathematics and Its Applications
278 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (XIV, 226 p) |
| ISBN: | 9789401582797 9789048143733 |
| DOI: | 10.1007/978-94-015-8279-7 |
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Datensatz im Suchindex
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-015-8279-7 |
| format | Electronic eBook |
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| id | DE-604.BV042424046 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:14Z |
| institution | BVB |
| isbn | 9789401582797 9789048143733 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027859463 |
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| physical | 1 Online-Ressource (XIV, 226 p) |
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| publishDate | 1994 |
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| publisher | Springer Netherlands |
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| spelling | Elduque, Alberto Verfasser aut Mutations of Alternative Algebras by Alberto Elduque, Hyo Chul Myung Dordrecht Springer Netherlands 1994 1 Online-Ressource (XIV, 226 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 278 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 Mathematics Algebra Matrix theory Mechanics Non-associative Rings and Algebras Associative Rings and Algebras Theoretical, Mathematical and Computational Physics Linear and Multilinear Algebras, Matrix Theory Mathematik Nichtassoziative Algebra (DE-588)4297760-5 gnd rswk-swf Nichtassoziative Algebra (DE-588)4297760-5 s 1\p DE-604 Myung, Hyo Chul Sonstige oth https://doi.org/10.1007/978-94-015-8279-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Elduque, Alberto Mutations of Alternative Algebras Mathematics Algebra Matrix theory Mechanics Non-associative Rings and Algebras Associative Rings and Algebras Theoretical, Mathematical and Computational Physics Linear and Multilinear Algebras, Matrix Theory Mathematik Nichtassoziative Algebra (DE-588)4297760-5 gnd |
| subject_GND | (DE-588)4297760-5 |
| title | Mutations of Alternative Algebras |
| title_auth | Mutations of Alternative Algebras |
| title_exact_search | Mutations of Alternative Algebras |
| title_full | Mutations of Alternative Algebras by Alberto Elduque, Hyo Chul Myung |
| title_fullStr | Mutations of Alternative Algebras by Alberto Elduque, Hyo Chul Myung |
| title_full_unstemmed | Mutations of Alternative Algebras by Alberto Elduque, Hyo Chul Myung |
| title_short | Mutations of Alternative Algebras |
| title_sort | mutations of alternative algebras |
| topic | Mathematics Algebra Matrix theory Mechanics Non-associative Rings and Algebras Associative Rings and Algebras Theoretical, Mathematical and Computational Physics Linear and Multilinear Algebras, Matrix Theory Mathematik Nichtassoziative Algebra (DE-588)4297760-5 gnd |
| topic_facet | Mathematics Algebra Matrix theory Mechanics Non-associative Rings and Algebras Associative Rings and Algebras Theoretical, Mathematical and Computational Physics Linear and Multilinear Algebras, Matrix Theory Mathematik Nichtassoziative Algebra |
| url | https://doi.org/10.1007/978-94-015-8279-7 |
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