Relations among low-dimensional simple Lie groups

zbMath1317.22005MaRDI QIDQ2637486

Robert Gilmore

Publication date: 11 February 2014

Published in: Journal of Geometry and Symmetry in Physics (Search for Journal in Brave)

zbMATH Keywords

rotationsisomorphismsLie groupsrepresentationshomomorphismsLie algebrasLorentz transformationsparameterizationsCasimir invariants and covariantsHeisenberg nilpotent group

Mathematics Subject Classification ID

General properties and structure of complex Lie groups (22E10) General properties and structure of real Lie groups (22E15) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (7)

Octonionic planes and real forms of \(G_2\), \(F_4\) and \(E_6\) ⋮ An overview of the history of projective representations of groups ⋮ Lie theory suffices to resolve the local classical problem of time ⋮ On some structural properties of semidirect sums of \(\mathfrak{so}(3)\) and abelian Lie algebras ⋮ Cayley map for symplectic groups ⋮ New parameterizations of \(\mathrm{SL}(2,\mathbb{R})\) and some explicit formulas for its logarithm ⋮ Complexification of the exceptional Jordan algebra and its application to particle physics

This page was built for publication: Relations among low-dimensional simple Lie groups