The Lie triple system of the symmetric space \(F_4/ \operatorname{Spin}(9)\).
type: Item
instance of: scholarly article
title: The Lie triple system of the symmetric space \(F_4/ \operatorname{Spin}(9)\).
zbMATH Open document ID: 1040.53070
published in: The Asian Journal of Mathematics
publication date: 2002-01-01T00:00:00Z
review text: The author describes the Lie triple system of the Cayley projective plane, viewed as the symmetric space \(F_4/ \text{Spin}(9)\), in terms of an algebraic structure that is associated with the \(16\)-dimensional spinor representation of Spin(9). Some related questions are also discussed.
Mathematics Subject Classification ID: 53C35
Mathematics Subject Classification ID: 17B60
zbMATH DE Number: 1925753
zbMATH Keywords: Cayley projective plane
zbMATH Keywords: Lie triple system
zbMATH Keywords: spinor representation
author: I. V. Mykytyuk
reviewed by: Jürgen Berndt
MaRDI profile type: Publication
full work available at URL: ajm.2002.v6.n4.a6
OpenAlex ID: W2626570068
DOI: 10.4310/AJM.2002.V6.N4.A6
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description: scientific article; zbMATH DE number 1925753