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A matrix Bernoulli equation in the adjoint matrix representation of simple three-dimensional Lie algebras

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Abstract

In this paper we give sufficient conditions for solvability by quadratures of a matrix Bernoulli equation whose parameters are defined in the adjointmatrix representation of simple threedimensional Lie algebras over a field of real numbers.

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References

  1. V. P. Derevenskii, “Matrix Bernoulli Equation. I,” Izv. Vyssh. Uchebn. Zaved. Mat., No. 2, 14–23 (2008) [Russian Mathematics (Iz. VUZ), 52 (2), 12–21 (2008)].

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Authors and Affiliations

  1. Kazan State University of Architecture and Engineering, ul. Zelyonaya 1, Kazan, 420043, Russia

    V. P. Derevenskii

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  1. V. P. Derevenskii
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Correspondence to V. P. Derevenskii.

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Original Russian Text © V.P. Derevenskii, 2009, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, No. 10, pp. 23–32.

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Derevenskii, V.P. A matrix Bernoulli equation in the adjoint matrix representation of simple three-dimensional Lie algebras. Russ Math. 53, 18–27 (2009). https://doi.org/10.3103/S1066369X0910003X

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  • DOI: https://doi.org/10.3103/S1066369X0910003X

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