Academic Bibliography

 Search 200 years of publications by Ghent University researchers.
Advanced search
1 file | 660.65 KB
Add to list
  1. Search results
  2. Geometric characterisation of subvari...

Geometric characterisation of subvarieties of 𝓔6(𝕂) related to the ternions and sextonions

Anneleen De Schepper (UGent)
(2022) ADVANCES IN GEOMETRY. 23(1). p.69-106
Author
Organization
Project
Abstract
The main achievement of this paper is a geometric characterisation of certain subvarieties of the Cartan variety E_6(K) over an arbitrary field K. The characterised varieties arise as Veronese representations of certain ring projective planes over quadratic subalgebras of the split octonions O' over K (among which the sextonions, a 6-dimensional non-associative algebra). We describe how these varieties are linked to the Freudenthal-Tits magic square, and discuss how they would even fit in, when also allowing the sextonions and other "degenerate composition algebras" as the algebras used to construct the square.
Keywords
Veronese varieties, ring geometries, composition algebras, Freudenthal-Tits magic square, E6

Downloads

  • Download
    (...).pdf
    • full text (Accepted manuscript)
    • |
    • UGent only
    • |
    • PDF
    • |
    • 660.65 KB

Citation

Please use this url to cite or link to this publication:

MLA
De Schepper, Anneleen. β€œGeometric Characterisation of Subvarieties of 𝓔6(𝕂) Related to the Ternions and Sextonions.” ADVANCES IN GEOMETRY, vol. 23, no. 1, 2022, pp. 69–106, doi:10.1515/advgeom-2022-0005.
APA
De Schepper, A. (2022). Geometric characterisation of subvarieties of 𝓔6(𝕂) related to the ternions and sextonions. ADVANCES IN GEOMETRY, 23(1), 69–106. https://doi.org/10.1515/advgeom-2022-0005
Chicago author-date
De Schepper, Anneleen. 2022. β€œGeometric Characterisation of Subvarieties of 𝓔6(𝕂) Related to the Ternions and Sextonions.” ADVANCES IN GEOMETRY 23 (1): 69–106. https://doi.org/10.1515/advgeom-2022-0005.
Chicago author-date (all authors)
De Schepper, Anneleen. 2022. β€œGeometric Characterisation of Subvarieties of 𝓔6(𝕂) Related to the Ternions and Sextonions.” ADVANCES IN GEOMETRY 23 (1): 69–106. doi:10.1515/advgeom-2022-0005.
Vancouver
1.
De Schepper A. Geometric characterisation of subvarieties of 𝓔6(𝕂) related to the ternions and sextonions. ADVANCES IN GEOMETRY. 2022;23(1):69–106.
IEEE
[1]
A. De Schepper, β€œGeometric characterisation of subvarieties of 𝓔6(𝕂) related to the ternions and sextonions,” ADVANCES IN GEOMETRY, vol. 23, no. 1, pp. 69–106, 2022.
@article{8753227,
  abstract     = {{The main achievement of this paper is a geometric characterisation of certain subvarieties of the Cartan variety E_6(K) over an arbitrary field K. The characterised varieties arise as Veronese representations of certain ring projective planes over quadratic subalgebras of the split octonions O' over K (among which the sextonions, a 6-dimensional non-associative algebra). We describe how these varieties are linked to the Freudenthal-Tits magic square, and discuss how they would even fit in, when also allowing the sextonions and other "degenerate composition algebras" as the algebras used to construct the square.}},
  author       = {{De Schepper, Anneleen}},
  issn         = {{1615-715X}},
  journal      = {{ADVANCES IN GEOMETRY}},
  keywords     = {{Veronese varieties,ring geometries,composition algebras,Freudenthal-Tits magic square,E6}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{69--106}},
  title        = {{Geometric characterisation of subvarieties of 𝓔6(𝕂) related to the ternions and sextonions}},
  url          = {{http://doi.org/10.1515/advgeom-2022-0005}},
  volume       = {{23}},
  year         = {{2022}},
}
Altmetric
View in Altmetric
Web of Science
Times cited: