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math.RA2015
Canonical forms for matrices of Saletan contractions
Dmytro R. Popovych
We show that each Saletan (linear) contraction can be realized, up to change of bases of the initial and the target Lie algebras, by a matrix-function that is completely defined by…
math.RA2014★ 1 cited
Contractions with necessarily unbounded matrices
Dmytro R. Popovych
We prove that for each dimension not less than five there exists a contraction between solvable Lie algebras that can be realized only with matrices whose Euclidean norms necessari…
math.RA2011★ 2 cited
Lie-orthogonal operators
Dmytro R. Popovych
Basic properties of Lie-orthogonal operators on a finite-dimensional Lie algebra are studied. In particular, the center, the radical and the components of the ascending central ser…