Universality in orbit spaces of compact linear groups

DOI10.1007/BF02101880zbMath0747.57014OpenAlexW2044248267MaRDI QIDQ1180235

G. Sartori, Vittorino Talamini

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf02101880

zbMATH Keywords

universality propertyorbit spaces of coregular compact linear groups of transformations of \(\mathbb R^ n\)polynomial contravariant metric matrix

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Compact Lie groups of differentiable transformations (57S15) Lie groups (22E99)

Related Items (8)

Orbit spaces of compact coregular simple Lie groups with 2, 3 and 4 basic polynomial invariants: Effective tools in the analysis of invariant potentials ⋮ Canonical bases of invariant polynomials for the irreducible reflection groups of types \(E_{6}\), \(E_{7}\), and \(E_{8}\) ⋮ Generating formulas for finite reflection groups of the infinite series \(S_n\), \(A_n\), \(B_n\) and \(D_n\) ⋮ BREAKING OF LINEAR SYMMETRIES AND MICHEL'S THEORY: GRASSMANN MANIFOLDS, AND INVARIANT SUBSPACES ⋮ On eigenvalues on the orbit space ⋮ Constructive axiomatic approach to the determination of the orbit spaces of coregular compact linear groups ⋮ Michel theory of symmetry breaking and gauge theories ⋮ The radial problem in gauge field theory models

Cites Work

• Unnamed Item
• The geometry of spontaneous symmetry breaking
• Inequalities defining orbit spaces
• Lifting smooth homotopies of orbit spaces
• Smooth functions invariant under the action of a compact Lie group
• Representations of simple Lie groups with regular rings of invariants
• A theorem on orbit structures (strata) of compact linear Lie groups
• Finite Unitary Reflection Groups

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