Proceedings of the Japan Academy, Series A, Mathematical Sciences

A construction of exceptional simple graded Lie algebras of the second kind

Satoshi Gomyo

Full-text: Open access

Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 71, Number 1 (1995), 13-16.

Dates
First available in Project Euclid: 19 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195510840

Digital Object Identifier
doi:10.3792/pjaa.71.13

Mathematical Reviews number (MathSciNet)
MR1326787

Zentralblatt MATH identifier
0834.17044

Subjects
Primary: 17B70: Graded Lie (super)algebras
Secondary: 17B20: Simple, semisimple, reductive (super)algebras

Citation

Gomyo, Satoshi. A construction of exceptional simple graded Lie algebras of the second kind. Proc. Japan Acad. Ser. A Math. Sci. 71 (1995), no. 1, 13--16. doi:10.3792/pjaa.71.13. https://projecteuclid.org/euclid.pja/1195510840


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References

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  • [2] H. Freudenthal: Oktaven, Ausnahmegruppen und Oktavengeometrie. Math. Inst. Rijkuniv. te Utrecht (1951).
  • [3] S. Gomyo: Realizations of exceptional simple graded Lie algebras of the second kind (preprint).
  • [4] T. Imai and I. Yokota: Simply connected compact simple Lie group G = E8(_24s) of type E8. J. Math. Kyoto Univ., 21, 741-762 (1981).
  • [5] S. Kaneyuki: On the subalgebra g0 and Qev of semisimple graded Lie algebras. J. Math. Soc. Japan, 45, 1-19 (1993).
  • [6] O. N. Smirnov: Simple and semisimple structurable algebras. Algebra and Logic, 29, 377-394 (1990).