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The geometry of the Freudenthal-Tits magic square

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Abstract
We review some geometric properties of the Freudenthal-Tits Magic Square, considered as a square of buildings, incidence geometries and varieties, as partly originally defined by Jacques Tits. In particular we establish new links between the vertical and horizontal layers.
Keywords
Mathematics (general), Mathematics, Discrete Mathematics Information Theory and Coding, Algebra

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MLA
Van Maldeghem, Hendrik. “The Geometry of the Freudenthal-Tits Magic Square.” Algebraic Combinatorics and the Monster Group, edited by Alexander A. Ivanov, vol. 487, Cambridge University Press, 2023, pp. 289–326, doi:10.1017/9781009338073.007.
APA
Van Maldeghem, H. (2023). The geometry of the Freudenthal-Tits magic square. In A. A. Ivanov (Ed.), Algebraic combinatorics and the monster group (Vol. 487, pp. 289–326). https://doi.org/10.1017/9781009338073.007
Chicago author-date
Van Maldeghem, Hendrik. 2023. “The Geometry of the Freudenthal-Tits Magic Square.” In Algebraic Combinatorics and the Monster Group, edited by Alexander A. Ivanov, 487:289–326. Cambridge University Press. https://doi.org/10.1017/9781009338073.007.
Chicago author-date (all authors)
Van Maldeghem, Hendrik. 2023. “The Geometry of the Freudenthal-Tits Magic Square.” In Algebraic Combinatorics and the Monster Group, ed by. Alexander A. Ivanov, 487:289–326. Cambridge University Press. doi:10.1017/9781009338073.007.
Vancouver
1.
Van Maldeghem H. The geometry of the Freudenthal-Tits magic square. In: Ivanov AA, editor. Algebraic combinatorics and the monster group. Cambridge University Press; 2023. p. 289–326.
IEEE
[1]
H. Van Maldeghem, “The geometry of the Freudenthal-Tits magic square,” in Algebraic combinatorics and the monster group, vol. 487, A. A. Ivanov, Ed. Cambridge University Press, 2023, pp. 289–326.
@incollection{01HXVJSKMQ2VJ2JFBCWZ5T4SZY,
  abstract     = {{We review some geometric properties of the Freudenthal-Tits Magic Square, considered as a square of buildings, incidence geometries and varieties, as partly originally defined by Jacques Tits. In particular we establish new links between the vertical and horizontal layers.}},
  author       = {{Van Maldeghem, Hendrik}},
  booktitle    = {{Algebraic combinatorics and the monster group}},
  editor       = {{Ivanov, Alexander A.}},
  isbn         = {{9781009338042}},
  issn         = {{2634-3681}},
  keywords     = {{Mathematics (general),Mathematics,Discrete Mathematics Information Theory and Coding,Algebra}},
  language     = {{eng}},
  pages        = {{289--326}},
  publisher    = {{Cambridge University Press}},
  series       = {{London mathematical society lecture note series}},
  title        = {{The geometry of the Freudenthal-Tits magic square}},
  url          = {{http://doi.org/10.1017/9781009338073.007}},
  volume       = {{487}},
  year         = {{2023}},
}

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