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A taste of Jordan algebras
Overview of attention for book
Table of Contents
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Book Overview
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Chapter 1
A Colloquial Survey of Jordan Theory
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Chapter 2
Jordan Algebras in Physical Antiquity: The Search for an Exceptional Setting for Quantum Mechanics
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Chapter 3
Jordan Algebras in the Algebraic Renaissance: Finite-Dimensional Jordan Algebras over Algebraically Closed Fields
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Chapter 4
Jordan Algebras in the Enlightenment: Finite-Dimensional Jordan Algebras over General Fields
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Chapter 5
The Classical Theory: Jordan Algebras with Minimum Condition
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Chapter 6
The Final Classical Formulation: Algebras with Capacity
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Chapter 7
The Classical Methods: Cherchez les Division Idempotents
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Chapter 8
The Russian Revolution: 1977–1983
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Chapter 9
Zel’manov’s Exceptional Methods
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Chapter 10
The Category of Jordan Algebras
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Chapter 11
The Category of Alternative Algebras
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Chapter 12
Three Special Examples
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Chapter 13
Jordan Algebras of Cubic Forms
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Chapter 14
Two Basic Principles
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Chapter 15
Inverses
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Chapter 16
Isotopes
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Chapter 17
Peirce Decomposition
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Chapter 18
Off-Diagonal Rules
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Chapter 19
Peirce Consequences
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Chapter 20
Spin Coordinatization
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Chapter 21
Hermitian Coordinatization
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Chapter 22
Multiple Peirce Decompositions
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Chapter 23
Multiple Peirce Consequences
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Chapter 24
Hermitian Symmetries
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Chapter 25
The Coordinate Algebra
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Chapter 26
Jacobson Coordinatization
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Chapter 27
Von Neumann Regularity
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Chapter 28
Inner Simplicity
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Chapter 29
Capacity
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Chapter 30
Herstein-Kleinfeld-Osborn Theorem
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Chapter 31
Osborn’s Capacity 2 Theorem
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Chapter 32
Classical Classification
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Chapter 33
The Radical
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Chapter 34
Begetting and Bounding Idempotents
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Chapter 35
Bounded Spectra Beget Capacity
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Chapter 36
Absorbers of Inner Ideals
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Chapter 37
Primitivity
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Chapter 38
The Primitive Heart
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Chapter 39
Filters and Ultrafilters
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Chapter 40
Ultraproducts
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Chapter 41
The Final Argument
Overall attention for this book and its chapters
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Mentioned by
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institution with syllabi
wikipedia
32
Wikipedia pages
Citations
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Mendeley
Book overview
1. A Colloquial Survey of Jordan Theory
2. Jordan Algebras in Physical Antiquity: The Search for an Exceptional Setting for Quantum Mechanics
3. Jordan Algebras in the Algebraic Renaissance: Finite-Dimensional Jordan Algebras over Algebraically Closed Fields
4. Jordan Algebras in the Enlightenment: Finite-Dimensional Jordan Algebras over General Fields
5. The Classical Theory: Jordan Algebras with Minimum Condition
6. The Final Classical Formulation: Algebras with Capacity
7. The Classical Methods: Cherchez les Division Idempotents
8. The Russian Revolution: 1977–1983
9. Zel’manov’s Exceptional Methods
10. The Category of Jordan Algebras
11. The Category of Alternative Algebras
12. Three Special Examples
13. Jordan Algebras of Cubic Forms
14. Two Basic Principles
15. Inverses
16. Isotopes
17. Peirce Decomposition
18. Off-Diagonal Rules
19. Peirce Consequences
20. Spin Coordinatization
21. Hermitian Coordinatization
22. Multiple Peirce Decompositions
23. Multiple Peirce Consequences
24. Hermitian Symmetries
25. The Coordinate Algebra
26. Jacobson Coordinatization
27. Von Neumann Regularity
28. Inner Simplicity
29. Capacity
30. Herstein-Kleinfeld-Osborn Theorem
31. Osborn’s Capacity 2 Theorem
32. Classical Classification
33. The Radical
34. Begetting and Bounding Idempotents
35. Bounded Spectra Beget Capacity
36. Absorbers of Inner Ideals
37. Primitivity
38. The Primitive Heart
39. Filters and Ultrafilters
40. Ultraproducts
41. The Final Argument
Summary
Syllabi
Wikipedia
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