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On the Role of Division, Jordan and Related Algebras in Particle Physics

On the Role of Division, Jordan and Related Algebras in Particle Physics

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"On the Role of Division, Jordan and Related Algebras in Particle Physics" by Feza Grsey, Chia-Hsiung Tze is a mathematics book and learning resource focused on Cosmology. Best for teachers, students, and readers looking for stronger mathematical understanding.

This monograph surveys the role of some associative and non-associative algebras, remarkable by their ubiquitous appearance in contemporary theoretical physics, particularly in particle physics. It concerns the interplay between division algebras, specifically quaternions and octonions, between Jordan and related algebras on the one hand, and unified theories of the basic interactions on the other. Selected applications of these algebraic structures are discussed: quaternion analyticity of Yang-Mills instantons, octonionic aspects of exceptional broken gauge, supergravity theories, division algebras in anyonic phenomena and in theories of extended objects in critical dimensions. The topics presented deal primarily with original contributions by the authors.

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Best For: Researchers and students in advanced physics and mathematical physics focusing on particle physics.
Focus: The use of division algebras, Jordan algebras, and related algebraic structures in theoretical and particle physics.
Covers: The interplay between quaternions, octonions, Jordan algebras, and unified theories of fundamental interactions.
Why It Matters: These algebraic structures appear frequently in contemporary theoretical physics and provide a mathematical framework for understanding basic particle interactions.

"On the Role of Division, Jordan and Related Algebras in Particle Physics" by Feza Grsey, Chia-Hsiung Tze is a mathematics book and learning resource focused on Cosmology. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Cosmology

Author: Feza Grsey, Chia-Hsiung Tze

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

This monograph surveys the role of some associative and non-associative algebras, remarkable by their ubiquitous appearance in contemporary theoretical physics, particularly in particle physics. It concerns the interplay between division algebras, specifically quaternions and octonions, between Jordan and related algebras on the one hand, and unified theories of the basic interactions on the other. Selected applications of these algebraic structures are discussed: quaternion analyticity of Yang-Mills instantons, octonionic aspects of exceptional broken gauge, supergravity theories, division algebras in anyonic phenomena and in theories of extended objects in critical dimensions. The topics presented deal primarily with original contributions by the authors.

AuthorFeza Grsey, Chia-Hsiung Tze
PublisherWorld Scientific
Published1996
ISBN-139789810228637
BindingHardcover
Pages492
LanguageEnglish
SubjectsScience
TopicCosmology

Format: Hardcover

Length: 492 pages

Language: English

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