Generalized quaternions and spacetime symmetries

DOI10.1063/1.525223zbMath0512.22011OpenAlexW2083306465MaRDI QIDQ4750887

Robert T. Jantzen

Publication date: 1982

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

Full work available at URL: https://semanticscholar.org/paper/693e1c78cfbc5d4abad1bc9ca9316f28ec796eac

zbMATH Keywords

Lie algebrauniversal enveloping algebraBianchi typesgeneralized quaternion algebraassociative composition algebrascosmological solution of the Einstein field equationsmanifolds of spacetimetracefree adjoint representations

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Relativistic cosmology (83F05) Exceptional (super)algebras (17B25) Lie algebras of Lie groups (22E60) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items

Generalized elliptical quaternions with some applications, Quadratic alternative algebras, The metric of a space and quadratic algebras, The Clifford algebra of differential forms

Cites Work

• Composition algebras and their automorphisms
• Occurrence of Whimper singularities
• The dynamical degrees of freedom in spatially homogeneous cosmology
• A class of homogeneous cosmological models
• Algebras with three anticommuting elements. II. Two algebras over a singular field
• Tensor harmonics on the 3-sphere
• New Homogeneous Solutions of Einstein's Field Equations with Incoherent Matter Obtained by a Spinor Technique
• An Example of a New Type of Cosmological Solutions of Einstein's Field Equations of Gravitation
• Empty space-times admitting a three parameter group of motions