Journal of the Mathematical Society of Japan
- J. Math. Soc. Japan
- Advance publication (2019), 60 pages.
Isotropic quadrangular algebras
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.
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.
J. Math. Soc. Japan, Advance publication (2019), 60 pages.
Received: 19 March 2018
Revised: 19 August 2018
First available in Project Euclid: 2 July 2019
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Digital Object Identifier
Primary: 17D99: None of the above, but in this section
Secondary: 20E42: Groups with a $BN$-pair; buildings [See also 51E24] 51E12: Generalized quadrangles, generalized polygons 51E24: Buildings and the geometry of diagrams
MÜHLHERR, Bernhard; WEISS, Richard M. Isotropic quadrangular algebras. J. Math. Soc. Japan, advance publication, 2 July 2019. doi:10.2969/jmsj/80178017. https://projecteuclid.org/euclid.jmsj/1562033194