Geometry of symmetric spaces of type EIII

DOI10.1090/spmj/1789arXiv2205.00509WikidataQ129276681 ScholiaQ129276681MaRDI QIDQ6153522

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Publication date: 14 February 2024

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.00509

zbMATH Keywords

symmetric spacesBrown algebramicroweight tori

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Other nonassociative rings and algebras (17D99)

Cites Work

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• Isomorphism classes of \(k\)-involutions of algebraic groups of type \(\mathrm{E}_6\)
• Decompositions related to symmetric varieties
• Motivic decomposition of projective homogeneous varieties and the Krull-Schmidt theorem
• The connection between the symmetric space \(E_ 6/SO(10)\cdot SO(2)\) and projective planes
• Isotropic trialitarian algebraic groups
• On the classification of \(k\)-involutions
• Orbits, invariants, and representations associated to involutions of reductive groups
• An elementary approach to the Serre-Rost invariant of Albert algebras
• On Hjelmslev-Moufang planes
• Visual Basic Representations
• Minimal parabolic k-subgroups acting on symmetric k-varieties corresponding to k-split groups

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