
Symmetry in Nonlinear Mathematical Physics  2009
Vasyl Fedorchuk (Pedagogical University, Krakow, Poland & Pidstryhach Institute of Applied Problems of
Mechanics and Mathematics, Lviv, Ukraine)
Volodymyr Fedorchuk (Pidstryhach Institute of Applied Problems of
Mechanics and Mathematics, Lviv, Ukraine)
On invariant operators of the fourdimensional nonconjugate subalgebras of the Lie algebra of the Poincaré
group P(1,4)
Abstract:
By using the Mubarakzyanov's classification [1] of the
lowdimensional real Lie algebras and the results obtained
in [2], we have constructed invariant operators (generalized
Casimir operators) for all fourdimensional nonconjugate
subalgebras of the Lie algebra of the Poincaré group P(1,4).
1. Mubarakzyanov G.M., On solvable Lie algebras, Izv. Vys. Ucheb. Zaved. Mat., 1963, no 1 (32), 114123.
2. Patera J., Sharp R.T., Winternitz P., Zassenhaus H., Invariants of real low dimension Lie algebras, J. Math. Phys., 1976, 17, no 6, 986994.

