Campoamor-Stursberg, Rutwig2023-06-202023-06-202006M Harvey, Advances in Nuclear Physics, Plenum Press, New York 1968. A. Peccia, R.T. Sharp, J. Math. Phys. 17, 1313 (1976). V.V. Tro_mov, A.T. Fomenko, Uspekhi Mat. Nauk 39, 3 (1984). R. Campoamor-Stursberg, Phys. Lett. A327, 138 (2004). G. Racah, Ergeb. exakten Naturwiss. 37, 28 (1965). J.L. Rubin, P. Winternitz, J. Phys. A: Math. Gen. 26, 1123 (1993). I.D. Ado, Izv. KFMO 7, 1 (1934-35). D. A. Suprunenko, R. I. Tyshkevich, Perestanovochnye matritsy, Nauka i Tekhnika, Minsk 1966. L. .nobl, P. Winternitz, J. Phys. A: Math. Gen. 38, 2187 (2005). J.M. Ancochea, R. Campoamor-Stursberg, L. Garcia Vergnolle, J. Phys. A: Math. Gen. 39, 1339 (2006). V.V. Morozov, Izv. Vys. Uchebn. Zav. Mat. 5, 161 (1958). R. Campoamor-Stursberg, J. Phys. A: Math. Gen. 36, 1357 (2003). ] P. Turkowski, J. Geom. Phys. 4, 119 (1987). G. Rosensteel, G. Rowe, Ann. Phys. 126, 3 (1980). R. Campoamor-Stursberg, Acta Phys. Pol. B 36, 2869 (2005). R. Campoamor-Stursberg, J. Phys. A: Math. Gen. 37, 3627 (2004). P. Turkowski J. Math. Phys. 29, 2139 (1988). R. Campoamor-Stursberg, J. Phys. A: Math. Gen. 38, 4187 (2005). A.M. Perelomov, V.S. Popov. Izv. Akad. Nauk SSSR 32, 1368 (1968). A.P. Dëmichev, N.F. Nelipa Vestnik Mosk. Univ. Ser. III Fiz. Astron. 21, 23(1980). P. Multarzy«ski. Acta Phys. Pol. B 18, 691 (1987). V.I. Lagno, S.V. Spichak, V.I. Stognii', Simmetrii'nyi' Analiz Uravnenii' Evolyutsionnogo Tipa, Institut komp'yuternikh issledovanii', Moskva 20040587-4254https://hdl.handle.net/20.500.14352/50685We analyze numerically the equation giving the number of missing label operators for reduction chains k ,! g of Lie algebras to obtain information about the maximal possible dimension of certain types of subalgebras, mainly Abelian. Applications to the minimal dimension of faithful representations are given, and the number of invariants of codimension one and two subalgebras is analyzed.engjournal articleopen access512Álgebra1201 Álgebra