Observations about the Lie algebra \(\mathfrak{g}_2 \subset \mathfrak{so} (7)\), associative 3-planes, and \(\mathfrak{so} (4)\) subalgebras

DOI10.1016/j.exmath.2022.10.004OpenAlexW4308491085WikidataQ115353662 ScholiaQ115353662MaRDI QIDQ2105643

Max Chemtov, Spiro Karigiannis

Publication date: 8 December 2022

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.10613

zbMATH Keywords

cross productexceptional Lie algebracanonical form theorem\(\mathfrak{g}_2\)\(\mathfrak{so} (4)\) subalgebraassociative 3-plane

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Exceptional (super)algebras (17B25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (1)

The sub-Riemannian geometry of screw motions with constant pitch

Cites Work

• Calibrated geometries
• FLOWS OF G2-STRUCTURES, I
• Curvature operators: pinching estimates and geometric examples
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