On Freudenthal's geometry and generalized adjoint varieties

Kyoto Journal of Mathematics

Volumn 40, Issue 1, 2000, Pages 137-153

  Omoda, Yasuhiro ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039007781     PISSN: 0023608X     EISSN: None     Source Type: Journal    
DOI: 10.1215/kjm/1250517763     Document Type: Article

References (13)

1. Bourbaki, Groupes et algebres de Lie chapter4-6, Hermann, Paris, 1968.
2. H. Freudenthal, Oktaven, Ausnahmegruppen und Oktavengeometrie, Mathematisch Instituut der Rijksuniversiteit te Utrecht, 1951 (mimeographed).
3. 8 zur Oktaveneden I-XI, Proc. Koninkl. Ned. Akad. Wetenschao, A57(1954), 218-230, 363-368. A58(1955), 151-157, 277-285. A62(1959), 165-201, 447-474. A66(1963), 457-487.
4. 8 zur Oktaveneden I-XI, Proc. Koninkl. Ned. Akad. Wetenschao, A57(1954), 218-230, 363-368. A58(1955), 151-157, 277-285. A62(1959), 165-201, 447-474. A66(1963), 457-487.
5. 8 zur Oktaveneden I-XI, Proc. Koninkl. Ned. Akad. Wetenschao, A57(1954), 218-230, 363-368. A58(1955), 151-157, 277-285. A62(1959), 165-201, 447-474. A66(1963), 457-487.
6. 8 zur Oktaveneden I-XI, Proc. Koninkl. Ned. Akad. Wetenschao, A57(1954), 218-230, 363-368. A58(1955), 151-157, 277-285. A62(1959), 165-201, 447-474. A66(1963), 457-487.
7. W. Fulton and J. Harris, Representation Theory GTM129, Springer Verlarg.
8. F. Knop and G. Menzel, Duale Varietäten von Fahnenuarietäten, Comment. Math. Helvetici, 62(1987), 38-61.
9. H. Kaji, M. Ohno and O. Yasukura, Adjoint varieties and their secant varieties, to appear in Indag Math.
10. W. Lichtenstein, A system of quadrics describing the orbit of the highest weight vector, Proc. Amer. Math. Soc., 84(1982), 605-608.
11. http://www.can.n1/SystemsOverview/Special/GroupTheory/LiE.
12. S. Mukai, Projective geometry of homogeneous spaces (in Japanese).
13. S. Mukai, Simple Lie algebra and Legendre variety, preprint in Warwick.