Proceedings of the Japan Academy Series A Mathematical Sciences · 1965 · 40 citations · 2 references
Natural SciencesMathematicsAlgebraGeometryRepresentation TheoryAbstract AlgebraGroup TheoryLie AlgebrasLie GroupsQuadratic FormsInfinite-dimensional Hilbert SpacesIrreducible RepresentationsLie Algebra TheoryLie Group RepresentationsLorentz AlgebraLorentz GroupRepresentation Theory Of Lie AlgebrasRepresentations Of Groups
1. The connected component of the identity element of the orthogonal group associated with the indefinite quadratic form x+x+ + x,,_-x, is called the Lorentz group of n-th order and denoted by L.
2