The maximal solvable subgroups of SO(p,q) groups

DOI10.1063/1.1666559zbMath0339.22019OpenAlexW2057276360MaRDI QIDQ4106397

Pavel Winternitz, Jirí Patera, Hans J. Zassenhaus

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1063/1.1666559

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Nilpotent and solvable Lie groups (22E25)

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Target space supergeometry of \(\eta\) and \(\lambda\)-deformed strings, Symmetry reduction for nonlinear relativistically invariant equations, Compact pseudo-Riemannian homogeneous Einstein manifolds of low dimension, Direct determination of the Iwasawa decomposition for noncompact semisimple Lie algebras, Classification of homogeneous Willmore surfaces in \(S^n\), Continuous subgroups of the fundamental groups of physics. I. General method and the Poincaré group, Continuous subgroups of the fundamental groups of physics. II. The similitude group, Symmetry analysis of wave equation on static spherically symmetric spacetimes with higher symmetries, Subgroups of the Poincaré group and their invariants, Linear groups, The maximal solvable subalgebras of the real classical Lie algebras, Lie algebra bases for the pseudo-orthogonal groups, Continuous subgroups of the fundamental groups of physics. III. The de Sitter groups, Maximal abelian subalgebras of pseudounitary Lie algebras, Maximal abelian subalgebras of complex orthogonal Lie algebras

Cites Work

• Groupes linéaires algébriques
• The physical aspects of the conformal group \(\text{SO}_0(4,2)\)
• Semi-simple real subalgebras of non-compact semi-simple real Lie algebras. III
• Beweis eines Satzes über diskrete Gruppen
• Semisimple subalgebras of semisimple Lie algebras
• The maximal solvable subgroups of the SU(p,q) groups and all subgroups of SU(2,1)