Isotropic quadrangular algebras

@article{Mhlherr2019IsotropicQA,
  title={Isotropic quadrangular algebras},
  author={Bernhard M{\"u}hlherr and Richard M. Weiss},
  journal={Journal of the Mathematical Society of Japan},
  year={2019}
}
  • B. Mühlherr, R. Weiss
  • Published 1 October 2019
  • Mathematics, Geology
  • Journal of the Mathematical Society of Japan
Quadrangular algebras arise in the theory of Tits quadrangles. They are anisotropic if and only if the corresponding Tits quadrangle is, in fact, a Moufang quadrangle. Anisotropic quadrangular algebras were classified in the course of classifying Moufang polygons. In this paper we extend the classification of anisotropic quadrangular algebras to a classification of isotropic quadrangular algebras satisfying a natural non-degeneracy condition. 
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THE EXCEPTIONAL TITS QUADRANGLES
A Tits polygon is a bipartite graph in which the neighborhood of each vertex is endowed with an “opposition relation” satisfying certain axioms. Moufang polygons are precisely the Tits polygons in
Veldkamp quadrangles and polar spaces

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