Connected subgroups of the conformal group C(1,4)
A method is given for describing maximal subalgebras of rank r, 1 ≤r ≤ 4, of the conformal algebra AC(1,4), which is the maximal invariance algebra of the eikonal equation. With the help of this method a classification is made up to C(1,4)-equivalence of all maximal subalgebras L of rank 1, 2, 3, and 4 of the algebra AC(1,4) satisfying the condition L ∩ V ⊂〈p1, P2, P3, p4〉, where V is the space of translations.
English version (Springer): Ukrainian Mathematical Journal 43 (1991), no. 7-8, pp 813-826.
Citation Example: Barannik L. F., Barannyk A. F., Fushchich V. I. Connected subgroups of the conformal group C(1,4) // Ukr. Mat. Zh. - 1991. - 43, № 7-8. - pp. 870–884.