메뉴 건너뛰기




Volumn 277, Issue 2, 2004, Pages 474-519

Projective completions of Jordan pairs Part I. The generalized projective geometry of a Lie algebra

Author keywords

3 graded Lie algebra; Generalized projective geometry; Jordan pair; Projective completion; Projective elementary group; Symmetric space

Indexed keywords


EID: 3242712892     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jalgebra.2003.10.034     Document Type: Article
Times cited : (23)

References (19)
  • 1
    • 0038463511 scopus 로고    scopus 로고
    • The Geometry of Jordan and Lie Structures
    • Springer-Verlag, Berlin
    • Bertram W. The Geometry of Jordan and Lie Structures Lecture Notes in Math. vol. 1754 2000 Springer-Verlag Berlin
    • (2000) Lecture Notes in Math. , vol.1754
    • Bertram, W.1
  • 2
    • 3242732443 scopus 로고    scopus 로고
    • Generalized projective geometries: From linear algebra via affine algebra to projective algebra
    • preprint, Nancy 2001, submitted for publication
    • Bertram W. Generalized projective geometries: from linear algebra via affine algebra to projective algebra, preprint, Nancy 2001, submitted for publication
    • (2001)
    • Bertram, W.1
  • 3
    • 0347326209 scopus 로고    scopus 로고
    • Generalized projective geometries: General theory and equivalence with Jordan structures
    • Bertram W. Generalized projective geometries: general theory and equivalence with Jordan structures Adv. Geom. 2 2002 329-369
    • (2002) Adv. Geom. , vol.2 , pp. 329-369
    • Bertram, W.1
  • 4
    • 0037490726 scopus 로고    scopus 로고
    • The geometry of null-systems, Jordan algebras and von Staudt's theorem
    • Bertram W. The geometry of null-systems, Jordan algebras and von Staudt's theorem Ann. Inst. Fourier (Grenoble) 53 1 2003 193-225
    • (2003) Ann. Inst. Fourier (Grenoble) , vol.53 , Issue.1 , pp. 193-225
    • Bertram, W.1
  • 5
    • 3242697243 scopus 로고    scopus 로고
    • Differential calculus, manifolds and Lie groups over arbitrary infinite fields
    • in press
    • Bertram W. Glöckner H. Neeb K.-H. Differential calculus, manifolds and Lie groups over arbitrary infinite fields, Exposition. Math., in press
    • Exposition. Math.
    • Bertram, W.1    Glöckner, H.2    Neeb, K.-H.3
  • 6
    • 3242699061 scopus 로고    scopus 로고
    • Projective completions of Jordan pairs. Part II. Manifold structures and symmetric spaces
    • submitted for publication
    • Bertram W. Neeb K.-H. Projective completions of Jordan pairs. Part II. Manifold structures and symmetric spaces, submitted for publication
    • Bertram, W.1    Neeb, K.-H.2
  • 7
    • 0344353933 scopus 로고    scopus 로고
    • The connected components of the projective line over a ring
    • Blunck A. Havlicek H. The connected components of the projective line over a ring Adv. Geom. 1 2001 107-117
    • (2001) Adv. Geom. , vol.1 , pp. 107-117
    • Blunck, A.1    Havlicek, H.2
  • 8
    • 0040518535 scopus 로고
    • Algebraic Systems in Differential Geometry
    • W. Kaup et al. (Ed.), de Gruyter, Berlin
    • Dorfmeister J. Algebraic Systems in Differential Geometry in: Kaup W. et al. (Eds.), Jordan Algebras 1994 9-34 de Gruyter Berlin
    • (1994) Jordan Algebras , pp. 9-34
    • Dorfmeister, J.1
  • 9
    • 0039183251 scopus 로고
    • Automorphisms of Banach Manifolds associated with the KP-equation
    • Dorfmeister J. Neher E. Szmigielski J. Automorphisms of Banach Manifolds associated with the KP-equation Quart. J. Math. Oxford 40 2 1989 161-195
    • (1989) Quart. J. Math. Oxford , vol.40 , Issue.2 , pp. 161-195
    • Dorfmeister, J.1    Neher, E.2    Szmigielski, J.3
  • 10
    • 0011645969 scopus 로고
    • Stable range and linear groups for alternative rings
    • Faulkner J.R. Stable range and linear groups for alternative rings Geom. Dedicata 14 1983 177-188
    • (1983) Geom. Dedicata , vol.14 , pp. 177-188
    • Faulkner, J.R.1
  • 12
    • 0003351212 scopus 로고
    • Chain geometries
    • F. Buekenhout (Ed.), Elsevier, Amsterdam
    • Herzer A. Chain geometries In: Buekenhout F. (Ed.) Handbook of Incidence Geometry 1995 Elsevier Amsterdam
    • (1995) Handbook of Incidence Geometry
    • Herzer, A.1
  • 13
    • 0000100102 scopus 로고
    • A Riemann Mapping Theorem for bounded symmetric domains in complex Banach spaces
    • Kaup W. A Riemann Mapping Theorem for bounded symmetric domains in complex Banach spaces Math. Z. 183 1983 503-529
    • (1983) Math. Z. , vol.183 , pp. 503-529
    • Kaup, W.1
  • 14
    • 0000670158 scopus 로고
    • Spiegelungsräume und homogene symmetrische Räume
    • Loos O. Spiegelungsräume und homogene symmetrische Räume Math. Z. 99 1967 141-170
    • (1967) Math. Z. , vol.99 , pp. 141-170
    • Loos, O.1
  • 15
    • 0004284814 scopus 로고
    • Symmetric Spaces I
    • Benjamin, New York
    • Loos O. Symmetric Spaces I 1969 Benjamin New York
    • (1969)
    • Loos, O.1
  • 16
    • 0003359401 scopus 로고
    • Jordan Pairs
    • Springer-Verlag, Berlin
    • Loos O. Jordan Pairs in: Lecture Notes in Math. vol. 460 1975 Springer-Verlag Berlin
    • (1975) Lecture Notes in Math. , vol.460
    • Loos, O.1
  • 17
    • 0003480853 scopus 로고
    • Bounded Symmetric Domains and Jordan Pairs
    • Univ. of California, Irvine
    • Loos O. Bounded Symmetric Domains and Jordan Pairs in: Lecture Notes 1977 Univ. of California Irvine
    • (1977) Lecture Notes
    • Loos, O.1
  • 18
    • 0003187516 scopus 로고
    • Elementary groups and stability for Jordan pairs
    • Loos O. Elementary groups and stability for Jordan pairs K-Theory 9 1995 77-116
    • (1995) K-Theory , vol.9 , pp. 77-116
    • Loos, O.1
  • 19
    • 0003202941 scopus 로고
    • Symmetric Banach Manifolds and Jordan C*-algebras
    • North-Holland, Amsterdam
    • Upmeier H. Symmetric Banach Manifolds and Jordan C*-algebras North-Holland Math. Stud. 1985 North-Holland Amsterdam
    • (1985) North-Holland Math. Stud.
    • Upmeier, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.