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Volumn 78, Issue 1, 2003, Pages 65-100

On the projective geometry of rational homogeneous varieties

Author keywords

Flag variety; Fundamental forms; Linear spaces; Octonion

Indexed keywords


EID: 0037248639     PISSN: 00102571     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000140300003     Document Type: Article
Times cited : (176)

References (25)
  • 2
    • 85038468533 scopus 로고    scopus 로고
    • Sur les variétés de courbure constante d'un espace euclidien ou non-euclidien
    • E. Cartan, Sur les variétés de courbure constante d'un espace euclidien ou non-euclidien, Collected Works III, 321-432.
    • Collected Works , vol.3 , pp. 321-432
    • Cartan, E.1
  • 3
    • 85038456261 scopus 로고
    • Classification des groupes de Lie algébriques
    • Paris
    • Séminaire Chevalley (1956-1958), Classification des groupes de Lie algébriques, Paris, 1958.
    • (1958) Séminaire Chevalley (1956-1958)
  • 4
    • 22044437139 scopus 로고    scopus 로고
    • Lie incidence systems from projective varieties
    • A. Cohen and B. Cooperstein, Lie incidence systems from projective varieties, Proc. Am. Math. Soc. 126 (1998), 2095-2102.
    • (1998) Proc. Am. Math. Soc. , vol.126 , pp. 2095-2102
    • Cohen, A.1    Cooperstein, B.2
  • 5
    • 0002677383 scopus 로고
    • Désingularisation des variétés de Schubert généralisées
    • M. Demazure, Désingularisation des variétés de Schubert généralisées, Ann. scient. Ec. Norm. Sup. 7 (1974), 53-88.
    • (1974) Ann. Scient. Ec. Norm. Sup. , vol.7 , pp. 53-88
    • Demazure, M.1
  • 7
    • 0002012811 scopus 로고
    • Maximal subgroups of the classical groups
    • E. B. Dynkin, Maximal subgroups of the classical groups, Amer. Math. Soc. Trans. Series 6 (1957), 245-378.
    • (1957) Amer. Math. Soc. Trans. Series , vol.6 , pp. 245-378
    • Dynkin, E.B.1
  • 8
    • 84972544398 scopus 로고
    • Koszul cohomology and the geometry of projective varieties
    • M. Green, Koszul cohomology and the geometry of projective varieties, J. Differ. Geom. 19 (1984), 125-167.
    • (1984) J. Differ. Geom. , vol.19 , pp. 125-167
    • Green, M.1
  • 9
    • 0001166617 scopus 로고
    • Algebraic geometry and local differential geometry
    • P. A. Griffiths and J. Harris, Algebraic Geometry and Local Differential Geometry, Ann. scient Ec. Norm. Sup. 12 (1979), 355-432.
    • (1979) Ann. Scient Ec. Norm. Sup. , vol.12 , pp. 355-432
    • Griffiths, P.A.1    Harris, J.2
  • 11
    • 0000395271 scopus 로고
    • Lie algebra cohomology and the generalized Borel-Weil theorem
    • B. Kostant, Lie algebra cohomology and the generalized Borel-Weil theorem, Ann. Math. 74 (1961), 329-387.
    • (1961) Ann. Math. , vol.74 , pp. 329-387
    • Kostant, B.1
  • 12
    • 0012814848 scopus 로고
    • On second fundamental forms of projective varieties
    • J. M. Landsberg, On second fundamental forms of projective varieties, Inventions Math. 117 (1994), 303-315.
    • (1994) Inventions Math. , vol.117 , pp. 303-315
    • Landsberg, J.M.1
  • 13
    • 0012803653 scopus 로고    scopus 로고
    • On degenerate secant and tangential varieties and local differential geometry
    • J. M. Landsberg, On degenerate secant and tangential varieties and local differential geometry, Duke Math. J. 85 (1996), 605-634.
    • (1996) Duke Math. J. , vol.85 , pp. 605-634
    • Landsberg, J.M.1
  • 14
    • 0035874251 scopus 로고    scopus 로고
    • The projective geometry of Freudenthal's magic chart
    • J. M. Landsberg and L. Manivel, The projective geometry of Freudenthal's magic chart, J. Algebra 239 (2001), 477-512.
    • (2001) J. Algebra , vol.239 , pp. 477-512
    • Landsberg, J.M.1    Manivel, L.2
  • 15
    • 52649119781 scopus 로고    scopus 로고
    • Construction and classification of complex simple Lie algebras via projective geometry
    • J. M. Landsberg and L. Manivel, Construction and classification of complex simple Lie algebras via projective geometry, Selecta Math. 8 (2002), 137-159.
    • (2002) Selecta Math. , vol.8 , pp. 137-159
    • Landsberg, J.M.1    Manivel, L.2
  • 16
    • 0037109516 scopus 로고    scopus 로고
    • Triality, exceptional Lie algebras, and Deligne dimension formulas
    • J. M. Landsberg and L. Manivel, Triality, exceptional Lie algebras, and Deligne dimension formulas, Advances Math. 171 (2002), 59-85.
    • (2002) Advances Math. , vol.171 , pp. 59-85
    • Landsberg, J.M.1    Manivel, L.2
  • 19
    • 84966213581 scopus 로고
    • A system of quadrics describing the orbit of the highest weight vector
    • W. Lichtenstein, A system of quadrics describing the orbit of the highest weight vector, Proc. A.M.S. 84 (1982), 605-608.
    • (1982) Proc. A.M.S. , vol.84 , pp. 605-608
    • Lichtenstein, W.1
  • 22
    • 0012863941 scopus 로고
    • Invariant ideals of polynomials algebras with multiplicity free group action
    • G. C. M. Ruitenburg, Invariant ideals of polynomials algebras with multiplicity free group action, Compositio Math. 71 (1989), 181-227.
    • (1989) Compositio Math. , vol.71 , pp. 181-227
    • Ruitenburg, G.C.M.1
  • 23
    • 0012848875 scopus 로고    scopus 로고
    • Octonions, jordan algebras and exceptional groups
    • Springer-Verlag, Berlin
    • T. Springer and F. Veldkamp, Octonions, Jordan algebras and exceptional groups, viii+208 pp., Springer Monographs in Mathematics, Springer-Verlag, Berlin, 2000.
    • (2000) Springer Monographs in Mathematics
    • Springer, T.1    Veldkamp, F.2
  • 24
    • 0012895056 scopus 로고
    • Groupes semi-simples complexes et géométrie projective
    • exposé 112
    • J. Tits, Groupes semi-simples complexes et géométrie projective, Séminaire Bourbaki 7 (1954/1955), exposé 112, 11 pages.
    • (1954) Séminaire Bourbaki , vol.7 , pp. 11
    • Tits, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.