The octonions

Bulletin of the American Mathematical Society

Volumn 39, Issue 2, 2002, Pages 145-205

  Baez, John C ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035997407     PISSN: 02730979     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0273-0979-01-00934-X     Document Type: Article

References (104)

1. On the non-existence of elements of Hopf invariant one
2. Bott periodicity and the parallelizability of the spheres
3. Quasialgebra structure of the octonions
4. History of the octaves
5. Octaves and triality
6. Le plan projectif des octaves et les sphéres commes espaces homogènes
7. On the parallelizability of the spheres
8. 7
9. Les groupes réels simples finis et continus
10. Nombres complexes
11. Le principe de dualité et la théorie des groupes simple et semi-simples
12. On Jacobi's elliptic functions
13. On Jacobi's elliptic functions
14. 6
15. Applications of Grassmann's extensive algebra
16. On Whitehead squares, Cayley-Dickson algebras and rational functions
17. The exceptional Jordan algebra and the superstring
18. Integral Cayley numbers
19. The four and eight square problem and division algebras
20. Quantum fields and strings: A course for mathematicians
21. On quaternions and their generalization and the history of the eight square theorem
22. The exceptional cone and the Leech lattice
23. Supersymmetric Yang-Mills theories and division algebras
24. A construction of Lie algebras from a class of ternary algebras
25. Exceptional Lie algebras and related algebraic and geometric structures
26. (1)
27. Zur ebenen oktavengeometrie
28. 8 zur oktavenebene, I, II
29. 8 zur oktavenebene, III, IV
30. 8 zur oktavenebene, V-IX
31. 8 zur oktavenebene, X, XI
32. Lie groups in the foundations of geometry
33. Bericht über die theorie der rosenfeldschen elliptischen ebenen
34. Solutions to Yang-Mills field equations in eight dimensions and the last Hopf map
35. Generalized conformal and superconformal group actions and Jordan algebras
36. Conformal and quasiconformal realizations of exceptional Lie groups
37. Moufang plane and octonionic quantum mechanics
38. Four and eight square theorems
39. Über die composition der quadratischen formen von beliebig vielen variabeln
40. Über eine Klasse nichtassociativer hyperkomplexer algebren
41. Über eine nicht-desarguessche ebene projektive geometrie
42. On an algebraic generalization of the quantum mechanical formalism
43. Non-parallelizability of the n sphere for n > 7
44. Die zusammensetzung der stetigen endlichen transformationsgruppen I
45. Supersymmetry and the division algebras
46. Spiders for rank 2 Lie algebras
47. The projective geometry of Freudenthal's magic square
48. Octonionic Möbius transformations
49. Finite Lorentz transformations, automorphisms, and division algebras
50. Octonionic representations of Clifford algebras and triality
51. Jordan algebras and their applications
52. Eine theorie der freudenthalschen tripelsysteme, I, II
53. Alternativkörper und der satz vom vollständigen vierseit
54. Geometrical interpretation of the compact simple Lie groups of the class E (Russian)
55. On the dimension of a composition algebra
56. On algebras formed by the Cayley-Dickson process
57. An application of the theories of Jordan algebras and Freudenthal triple systems to particles and strings
58. The projective octave plane, I-II
59. Characterization of a class of cubic forms
60. On the geometric algebra of the octave planes
61. Octonionic description of exceptional Lie superalgebras
62. Division algebras, (pseudo) orthogonal groups and spinors
63. Le plan projectif des octaves et les groupes de Lie exceptionnels
64. 7
65. Algèbres alternatives, algèbres de Jordan et algèbres de Lie exceptionnelles
66. Buildings of spherical type and finite BN-Pairs
67. A construction of exceptional simple Lie groups
68. Theorie der alternativen ringe
69. Alternativkörper und quadratische systeme