Isotropic quadrangular algebras

  title={Isotropic quadrangular algebras},
  author={Bernhard M{\"u}hlherr and Richard M. Weiss},
  journal={Journal of the Mathematical Society of Japan},
  • 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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