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For a linear ordinary differential equation the Lie algebra of its infinitesimal Lie symmetries is compared with its differential Galois group. For this purpose an algebraic formul...
We associate one or two posets (which we call "semistandard posets") to any given irreducible representation of a rank two semisimple Lie algebra over C. Elsewhere we ha...
L. Wyatt Alverson II, Robert G. Donnelly, Scott J....
In a present paper a problem of classification of Aff(2, R)orbits' dimensions is considered on example of an autonomous two-dimensional affine differential system of first or...
We explicitly determine quasi-polynomials describing the weight multiplicities of the Lie algebra so5(C). This information entails immediate complete knowledge of the character of ...