A theorem on orbit structures (strata) of compact linear Lie groups

DOI10.1063/1.525772zbMath0536.57019OpenAlexW1989305712WikidataQ115332488 ScholiaQ115332488MaRDI QIDQ3321128

G. Sartori

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1063/1.525772

zbMATH Keywords

isotropy subgroupsring of invariant polynomialsorbit stratificationcompact r- dimensional Lie group of orthogonal transformationsinvariant normal spacetangent space to a stratum

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Compact Lie groups of differentiable transformations (57S15) Stratifications in topological manifolds (57N80)

Related Items (7)

Consequences of the complex character of the internal symmetry in supersymmetric theories ⋮ Orbit spaces of compact coregular simple Lie groups with 2, 3 and 4 basic polynomial invariants: Effective tools in the analysis of invariant potentials ⋮ Orbit spaces of low-dimensional representations of simple compact connected Lie groups and extrema of a group-invariant scalar potential ⋮ Universality in orbit spaces of compact linear groups ⋮ Constructive axiomatic approach to the determination of the orbit spaces of coregular compact linear groups ⋮ The geometry of spontaneous symmetry breaking ⋮ Inequalities defining orbit spaces

Cites Work

• Smooth functions invariant under the action of a compact Lie group
• Invariant theory, old and new

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