46
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Okubo algebras in characteristic 3 and their automorphisms

Pages 3009-3030 | Received 01 Jan 1998, Published online: 27 Jun 2007

References

  • Albert , A.A. and Frank , M.S. 1954 . Simple Lie algebras of characteristicp . Rend. Sem. Mat. Torino , 14 : 117 – 139 . 55
  • Block , R.E. 1968 . Determination of A + for the simple flexible algebras . Proc. Nat. Acad. Sci. USA , 61 : 394 – 397 .
  • Block , R.E. 1969 . Determination of the differentiate simple rings with a minimal ideal . Annals of Math , 90 : 433 – 459 .
  • Elduque , A. 1997 . Symmetric composition algebras . J. Algebra , 196 : 283 – 300 .
  • Elduque , A. 1997 . Contemporary Mathematics . Okubo algebras and twisted polynomials , 196 to appear
  • Elduque , A. and Myung , H.C. On Okubo algebras . Forty Years of Rochester Sympo- sium: From Symmetries to Strings . Edited by: Das , A. pp. 299 – 310 . River Edge, New Jersey : World Scientific Publ .
  • Elduque , A. and Myung , H.C. 1991 . On Flexible composition algebras and Okubo algebras . Commun. Algebra , 19 : 1197 – 1227 .
  • Elduque , A. and Myung , H.C. 1993 . On flexible composition algebras . Commun. Algebra , 21 : 2481 – 2505 .
  • Elduque , A. and Pérez , J.M. 1996 . Composition algebras with associative bilinear form . Commun. Algebra , 24 : 1091 – 1116 .
  • Faulkner , J.R. 1988 . Finding octonion algebras in associative algebras' . Proc Amer. Math. Soc , 104 : 1027 – 1030 .
  • Knus , M.A. , Merkurjev , A.S. , Rost , M. and Tignol , J.P. 1998 . The Book of Involutions . American Math. Soc. Colloq. Publ , 44 Providence
  • Kokoris , L.A. 1958 . Simple nodal noncommutative Jordan algebras . Proc. Amer. Math. So , 9 : 652 – 654 .
  • Kokoris , L.A. 1960 . Nodal noncommutative Jordan algebras . Canad. J. Math , 12 : 488 – 492 .
  • Okubo , S. 1978 . Pseudo-quaternion and pseudo-octonion algebras . Hadronic J , 1 : 1250 – 1278 .
  • Okubo , S. 1995 . Introduction to Octonion and Other Non-Associative Algebras in Physics , Cambridge University Press .
  • Okubo , S. and Myung , H.C. 1980 . Some new classes of division algebras . J. Algebra , 67 : 479 – 490 .
  • Okubo , S. and Osborn , J.M. 1981 . Algebras with nondegenerate associative symmetric bilinear form permitting composition . Commun. Algebra , 9 : 1233 – 1261 .
  • Okubo , S. and Osborn , J.M. 1981 . Algebras with nondegenerate associative symmetric bilinear form permitting composition. II . Commun. Algebra , 9 : 2015 – 2073 .
  • Petersson , H. 1969 . Eine Identitat fiinften Grades, der gewisse Isotope von Kompositions- Algebren genugen . Math. Z , 109 : 217 – 238 .
  • Schafcr , R.D. 1960 . Nodal noncommutative Jordan algebras and simple Lie algebras of char- acteristic p . Trans. Amer. Math. Soc , 94 : 310 – 326 .
  • Scribner , D.R. 1971 . Lie-admissible, nodal, noncommutative Jordan algebras . Trans. Amer. Math. Soc , 154 : 105 – 111 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.