Complete System of Invariants of Subspaces of Lorentzian Space


IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, vol.41, pp.401-408, 2017 (SCI-Expanded) identifier identifier


Let E-1(n+1) be the (n + 1) not equal dimensional Lorentzian space, O(n, 1) be the group of all pseudo- orthogonal transformations of E-1(n+1) and S(n +1, 1) be the set of all subspaces of E-1(n+1). The following action of the group O(n, 1) on S(n +1, 1) is considered: alpha(F, V) - F(V), where F is an element of O(n, 1) and V is an element of S(n +1, 1) For U is an element of S(n +1, 1), denote the number of linearly independent null vectors in U by kappa(U). Main results: