Matrix realizations of four-dimensional Lie algebras and corresponding invariant spaces (Q2711731)

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Matrix realizations of four-dimensional Lie algebras and corresponding invariant spaces
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    25 April 2001
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    four-dimensional Lie algebra
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    differential realization
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    invariant space
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    Matrix realizations of four-dimensional Lie algebras and corresponding invariant spaces (English)
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    A list of all non-equivalent realizations of four-dimensional Lie algebras by matrix differential operators \(Q=\xi (x)\partial_x+\eta (x)\) is given. Here \(\xi (x)\) is a smooth real function, \(\eta (x)\) is a complex matrix-function. Invariant function spaces are found for all realizations.NEWLINENEWLINEFor the entire collection see [Zbl 0937.00046].
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