On the complex Cayley Grassmannian

DOI10.1016/j.jalgebra.2019.11.035zbMath1471.14105arXiv1711.05169OpenAlexW2992507906WikidataQ126637803 ScholiaQ126637803MaRDI QIDQ2285243

Üstün Yıldırım

Publication date: 16 January 2020

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.05169

zbMATH Keywords

torus actionoctonion algebra\(G_2\)exceptional holonomyBialynicki-Birula decompositionCayley Grassmannianspin(7)

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Issues of holonomy in differential geometry (53C29) Calibrations and calibrated geometries (53C38)

Cites Work

• Unnamed Item
• Calibrated geometries
• Metrics with exceptional holonomy
• Algebraic quotients. Torus actions and cohomology. The adjoint representation and the adjoint action
• The Cayley Grassmannian
• Some theorems on actions of algebraic groups
• Vector cross products
• Fixed point schemes of additive group actions
• Schubert Calculus
• Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes
• Intersection Homology and Torus Actions
• The octonions
• Notes on the octonions
• Complex $\text{G}_2$ and Associative Grassmannian
• Algebraic topology of \(G_{2}\) manifolds

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