\(\text{Spin}(7)\)-subgroups of \(\text{SO}(8)\) and \(\text{Spin}(8)\)

DOI10.1016/S0723-0869(01)80027-XzbMath0984.22010MaRDI QIDQ5939213

V. S. Varadarajan

Publication date: 5 May 2002

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

zbMATH Keywords

conjugacy classesSpin(7)Cayley octonion algebraimbeddingsintersection propertiesSO(8)Spin(8)

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Compact groups (22C05) Lie algebras of linear algebraic groups (17B45)

Related Items (8)

\(\mathrm{Spin}(9)\) geometry of the octonionic Hopf fibration ⋮ Generically free representations. III: Extremely bad characteristic ⋮ Semisimple weakly symmetric pseudo-Riemannian manifolds ⋮ Conformal actions of real-rank 1 simple Lie groups on pseudo-Riemannian manifolds ⋮ Classification of reductive real spherical pairs. II: The semisimple case ⋮ On the equivariant cohomology of hyperpolar actions on symmetric spaces ⋮ Twisted Cohomotopy implies M-theory anomaly cancellation on 8-manifolds ⋮ Topological \(G_2\) and Spin(7) strings at 1-loop from double complexes

Cites Work

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• On \(\text{Spin}(8)\) and triality: A topological approach

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