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October, 2019 Isotropic quadrangular algebras
Bernhard MÜHLHERR, Richard M. WEISS
J. Math. Soc. Japan 71(4): 1321-1380 (October, 2019). DOI: 10.2969/jmsj/80178017

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

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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

Information

Received: 19 March 2018; Revised: 19 August 2018; Published: October, 2019
First available in Project Euclid: 2 July 2019

zbMATH: 07174409
MathSciNet: MR4023310
Digital Object Identifier: 10.2969/jmsj/80178017

Subjects:
Primary: 17D99
Secondary: 20E42 , 51E12 , 51E24

Keywords: building , quadrangular algebra , Tits polygon

Rights: Copyright © 2019 Mathematical Society of Japan

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Vol.71 • No. 4 • October, 2019
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