Composition algebras with associative bilinear form

Communications in Algebra

Volumn 24, Issue 3, 1996, Pages 1091-1116

  Elduque, Alberto ^a   Ṕerez, José María ^a  

^a UNIVERSITY OF ZARAGOZA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21344440229     PISSN: 00927872     EISSN: None     Source Type: Journal    
DOI: 10.1080/00927879608825625     Document Type: Article

References (16)

1. A. Elduque and H.C. Myung, "On Okubo algebras", Forty Years of Rochester Symposium: From Symmetries to Strings. A. Das, ed., World Scientific Publ., River Edge, New Jersey, (1990), 299-310.
2. A. Elduque and H.C. Myung, "Flexible composition algebras and Okubo algebras". Commun. Algebra 19 (1991), 1197-1227.
3. A. Elduque and H.C. Myung, "On flexible composition algebras", Commun. Algebra 21 (1993), 2481-2505.
4. A. Elduque and H.C. Myung, "Color algebras and Cayley-Dickson algebras", Proc. Royal Soc. Edinburgh, to appear.
5. A. Elduque and J.M. Pérez. "Third power associative composition algebras", manuscripta math. 84 (1994), 73-87.
6. X. Jacobson, "Composition algebras and their automorphisms", Rend. Circ. Mat. Palermo 7 serie II (1958), 55-80.
7. I. Kaplansky, "Infinite-dimensional quadratic forms admitting composition", Proc. Amer. Math. Soc. 4 (1953), 950-900.
8. H.C. Myung, Malcev-admissible. Algebras, Prog. Math., vol. 64, Birkhäuser, Boston 1986.
9. H.C. Myung, Non-Unital Composition Algebras, Research Institute of Mathematics, Global Analysis Research Center, Lecture Notes Series no. 22, Seoul 1994.
10. S. Okubo, "Pseudo-quaternion and pseudo-octonion algebras", Hadronic J. 1 (1978), 1250-1278.
11. S. Okubo, "Classification of flexible composition algebras, I and II", Hadronic J. 5 (1982), 1564-1626.
12. S. Okubo and J.M. Osborn, "Algebras with nondegenerate associative symmetric bilinear form permitting composition" Commun. Algebra 9 (1981), 1233-1201.
13. S. Okubo and J.M. Osborn, "Algebras with nondegenerate associative symmetric bilinear form permitting composition, II" Commun. Algebra 9 (1981), 2015-2073.
14. H. Petersson. "Eine Identität fünften Grades, der gewisse Isotope von Kompositions-Algebren genügen", Math. Z. 109 (1969), 217-238.
15. H. Petersson, "Quasi Composition Algebras", Abh. Math. Sem. Univ. Hamburg 35 (1971), 215-222.
16. K.A. Zhevlakov, A.M. Slin'ko, I.P. Shostakov and A.I. Shirshov, Rings that are Nearly Associative, Academic Press, New York 1982.