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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 four-dimensional non-conjugate subalgebras of the Lie algebra of the Poincaré
group P(1,4)
Abstract:
By using the Mubarakzyanov's classification [1] of the
low-dimensional real Lie algebras and the results obtained
in [2], we have constructed invariant operators (generalized
Casimir operators) for all four-dimensional non-conjugate
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), 114-123.
2. Patera J., Sharp R.T., Winternitz P., Zassenhaus H., Invariants of real low dimension Lie algebras, J. Math. Phys., 1976, 17, no 6, 986-994.
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