REFERENCES
- Albert , A. A. ( 1942 ). Nonassociative algebras . Ann. Math. 43 : 685 – 707 .
- Albert , A. A. ( 1947 ). Absolute valued real algebras . Ann. Math. 48 : 495 – 501 .
- Albert , A. A. ( 1949 ). Absolute valued algebraic algebras . Bull. Amer. Math. Soc. 55 : 763 – 768 .
- Bröcker , T. , Dieck , T. ( 1985 ). Representations of Compact Lie Groups . New-York-Berlin-Heidelberg-Tokyo : Springer-Verlag .
- Calderón A. J. , Martín , C. ( 2001 ). On L∗-Triples and Jordan H∗-Pairs, in Ring Theory and Algebraic Geometry . Marcel Dekker, Inc. , pp. 87 – 94 .
- Calderón , A. J. , Mar[tacute]in , C. ( 2004 ). Absolute valued triple systems . Intern. Math. Journal. 5 ( 8 ): 741 – 753 .
- Calderón A. J. , Martín , C. ( 2005 ). Two graded absolute valued algebras . J. Algebra. 292 :492–515.
- Castellón A. , Cuenca , J. A. ( 1993 ). The centroid and metacentroid of an H∗-triple system . Bull. Soc. Math. Belg. 45 : 85 – 93 .
- Castellón , A. , Cuenca , J. A. , Martín , C. ( 2000 ). Special Jordan H∗-triple systems . Comm. Alg. 28 ( 10 ): 4699 – 4706 .
- Cuenca J. A. , Rodríguez , A. (1995). Absolute values on H∗-algebras. Comm. Alg. 23:1709–1740.
- Cuenca , J. A. , García A. , Martín , C. ( 1989 ). Jacobson density for associative pairs and its applications . Comm. Alg. 17 ( 10 ): 2595 – 2610 .
- Elduque , A. ( 2000 ). On triality and automorphisms and derivations of composition algebras . Linear Algebra and Its Applications 314 : 49 – 74 .
- El-Amin , K. , Ramírez , M. I. , Rodríguez , A. ( 1997 ). Absolute-valued algebraic algebras are finite-dimensional . J. Algebra 195 : 295 – 307 .
- El-Mallah , M. L. ( 1998 ). Absolute valued algebras containing a central element . Italian J. Pure Appl. Math. 3 : 103 – 105 .
- El-Mallah , M. L. ( 2001 ). Absolute valued algebras satisfying (x, x, x 2) = 0 . Arch. Math. 77 : 378 – 382 .
- El-Mallah M. L. , Micali , A. ( 1980 ). Sur les algèbres normées sans diviseurs topologiques de zèro . Bol. Soc. Mat. Mexicana 25 : 23 – 28 .
- Hopkins , N. C. ( 1985 ). Some structure theory for a class of triple systems . Trans. Amer. Math. Soc. 1 : 203 – 212 .
- Kaup , W. ( 1981 ). Über die Klassifikation der symmetrischen hermiteschen mannifaltigkeiten unendlicher dimension I . Math. Ann. 257 : 463 – 483 .
- Kaup , W. ( 1983 ). Über die Klassifikation der symmetrischen hermiteschen mannifaltigkeiten unendlicher dimension II . Math. Ann. 262 : 57 – 75 .
- Lister , W. G. ( 1952 ). A structure theory of Lie triple systems . Trans. Amer. Math. Soc. 72 : 217 – 242 .
- Loos , O. ( 1975 ). Jordan Pairs . Lecture Notes in Math. , Vol. 460 . Springer-Verlag .
- McCrimmon , K. ( 1983 ). Quadratic forms permitting triple composition . Trans. Amer. Math. Soc. 275 : 107 – 130 .
- Neher , E. ( 1980 ). Klassifikation der einfachen reellen speziellen Jordan-tripelsysteme . Manuscripta Math. 31 : 197 – 215 .
- Neher , E. ( 1981 ). Klassifikation der einfachen reellen Ausnahme Jordan-tripelsysteme . J. Reine Angew. Math. 322 : 145 – 169 .
- Neher , E. ( 1985 ). On the classification of Lie and Jordan triple systems . Comm. Alg. 13 ( 12 ): 2615 – 2667 .
- Petersson , H. P. ( 2002 ). The structure group of an alternative algebra . Abh. Math. Sem. Univ. Hamburg 72 : 165 – 186 .
- Postnikov , M. ( 1985 ). Lecons de Géométrie . Groupes et algèbres de Lie. Editions Mir, Moscou .
- Ramírez , M. I. ( 1999 ). On four dimensional absolute-valued algebras . In: Proceedings of the International Conference on Jordan Structures , Univ. Málaga , Málaga , pp. 169 – 173 .
- Rochdi , A. ( 2005 ). Absolute valued algebras with involution. Preprint .
- Rodríguez , A. ( 1994 ). Absolute valued algebras of degree two . Non-Associative Algebra and Its Applications . Kluwer Academic Publishers , pp. 350 – 357 .
- Rodríguez , A. ( 2004 ). Absolute-valued algebras and absolute-valuable Banach spaces . Advanced Courses of Mathematical Analysis I. Proceedings of the First International School . World Scientific Publishing , pp. 99 – 155 .
- Shaw , R. ( 1990a ). Ternary composition algebras I. Structure theorems: definite and neutral signatures . Proc. Soc. London Ser. A 431 : 1 – 19 .
- Shaw , R. ( 1990b ). Ternary composition algebras II. Automorphism groups and subgroups . Proc. Soc. London Ser. A 431 : 21 – 36 .
- Springer , T. A. ( 1973 ). Jordan Algebras and Algebraic Groups . Berlin , Heidelberg , New York : Springer-Verlag .
- Tits , J. , Weiss , R. ( 2002 ). Moufang Polygons . Springer Monographs in Mathematics . Springer-Verlag .
- Upmeier , H. (1985). Symmetric Banach Manifolds and Jordan C∗-Algebras . Math. Studies 104. North Holland.
- Urbanik K. , Wright , F. B. ( 1960 ). Absolute valued algebras . Proc. Amer. Math. Soc. 11 : 861 – 866 .
- Wright , F. B. ( 1953 ). Absolute valued algebras , Proc. Nat. Acad. Sci. U.S.A. 39 : 330 – 332 .
- Zhevlakov , K. A. , Slinko , A. M. , Shestakov , I. P. , Shirshov , A. I. ( 1982 ). Rings that Are Nearly Associative . New York : Academic Press .
- Communicated by I. P. Shestakov.