Explicit construction of nontrivial elements for homotopy groups of classical Lie groups

DOI10.1063/1.529018zbMath0707.22013OpenAlexW1969563733WikidataQ115331636 ScholiaQ115331636MaRDI QIDQ3488342

Albert T. Lundell, Yasunari Tosa

Publication date: 1990

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529018

zbMATH Keywords

generatorsClifford algebrashomotopy groupsunitary, orthogonal, and symplectic groups

Mathematics Subject Classification ID

Homotopy groups, general; sets of homotopy classes (55Q05) Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (1)

ADHM construction of (anti-)self-dual instantons in eight dimensions

Cites Work

• Some remarks on the paper of Callias
• A topological proof of the Bott periodicity theorems
• Clifford modules
• A Bott map for non-stable homotopy of the unitary group
• General indices of simple Lie algebras and symmetrized product representations
• Global anomalies and algebraic topology

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