Journal of the Mathematical Society of Japan

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.

Note

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.

Article information

Source
J. Math. Soc. Japan, Volume 71, Number 4 (2019), 1321-1380.

Dates
Revised: 19 August 2018
First available in Project Euclid: 2 July 2019

https://projecteuclid.org/euclid.jmsj/1562033194

Digital Object Identifier
doi:10.2969/jmsj/80178017

Mathematical Reviews number (MathSciNet)
MR4023310

Zentralblatt MATH identifier
07174409

Citation

MÜHLHERR, Bernhard; WEISS, Richard M. Isotropic quadrangular algebras. J. Math. Soc. Japan 71 (2019), no. 4, 1321--1380. doi:10.2969/jmsj/80178017. https://projecteuclid.org/euclid.jmsj/1562033194

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