Orbit spaces of reflection groups with 2, 3 and 4 basic polynomial invariants

DOI10.1088/0305-4470/29/1/019zbMath0917.20038arXivhep-th/9510162OpenAlexW2010449804MaRDI QIDQ4227608

Giovanni Valente, G. Sartori

Publication date: 26 April 1999

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

Full work available at URL: https://arxiv.org/abs/hep-th/9510162

zbMATH Keywords

crystallographic groupsorbit spacessemialgebraic varietiescompact linear groupsbasic polynomial invariants

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Applications of Lie groups to the sciences; explicit representations (22E70) Classical groups (algebro-geometric aspects) (14L35) Other geometric groups, including crystallographic groups (20H15) Applications of linear algebraic groups to the sciences (20G45)

Related Items (7)

Highly symmetric POVMs and their informational power ⋮ Lie-Poincaré transformations and a reduction criterion in Landau theory ⋮ Orbit spaces of compact coregular simple Lie groups with 2, 3 and 4 basic polynomial invariants: Effective tools in the analysis of invariant potentials ⋮ BREAKING OF LINEAR SYMMETRIES AND MICHEL'S THEORY: GRASSMANN MANIFOLDS, AND INVARIANT SUBSPACES ⋮ Constructive axiomatic approach to the determination of the orbit spaces of coregular compact linear groups ⋮ Geometric invariant theory approach to the determination of ground states of D-wave condensates in isotropic space ⋮ Michel theory of symmetry breaking and gauge theories

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