Abstract
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.
Funding Statement
The work of the first author was partially supported by a grant from the DFG and the work of the second author was partially supported by a collaboration grant from the Simons Foundation.
Citation
Bernhard MÜHLHERR. Richard M. WEISS. "Isotropic quadrangular algebras." J. Math. Soc. Japan 71 (4) 1321 - 1380, October, 2019. https://doi.org/10.2969/jmsj/80178017
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