Orbit spaces of low-dimensional representations of simple compact connected Lie groups and extrema of a group-invariant scalar potential

DOI10.1063/1.526347zbMath0554.22008OpenAlexW2044932792WikidataQ115332290 ScholiaQ115332290MaRDI QIDQ3216820

Jai Sam Kim

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1063/1.526347

zbMATH Keywords

representationsHiggs potentialclassical and exceptional Lie groupsabsolute minimum conditionOrbit spaces

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70)

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Cites Work

• Representations of simple Lie groups with regular rings of invariants
• Discrete groups generated by reflections
• Lie groups in the foundations of geometry
• Differentiable actions of compact connected classical groups. II
• A theorem on orbit structures (strata) of compact linear Lie groups
• S Theorem and Construction of the Invariants of the Semisimple Compact Lie Algebras
• Classification of Irreducible Unitary Representations of Compact Simple Lie Groups. I

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