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Toda p-brane black holes and polynomials related to Lie algebras functions H-s for intersections related to semisimple Lie algebras is suggested. This conjecture is proved

Normal connections on three-dimensional manifolds with solvable transformation group with their curvature and torsion tensors, holonomy algebras. We consider only the case, when Lie group is solvable

Duality identities for moduli functions of generalized melvin solutions related to classical lie algebras of rank 4We consider generalized Melvin-like solutions associated with nonexceptional Lie algebras of rank 4

On generalized Melvin solutions for Lie algebras of rank 4We deal with generalized Melvin-like solutions associated with Lie algebras of rank 4 (A4, B4, C4

On generalized Melvin solutions for Lie algebras of rank 4We deal with generalized Melvin-like solutions associated with Lie algebras of rank 4 (A4
On Bol algebras that satisfies some supplementary conditions. In the paper Bol algebras are approached through Lie algebras

Laplace invariants for a fourth-order equation with two independent variables-dimensional Lie algebras. © 2014 Allerton Press, Inc.

On Laplace invariants for equations with dominating third-order partial derivative and two independent variables are written in terms of them. Classes of equations which admit four-dimensional Lie algebras are distinguished.

Almost Inner Derivations of Some Leibniz Algebras. Namely, we consider a thin Lie algebra, solvable Lie algebra with nilradical natural graded filifform Lie

Non-reductive homogeneous spaces, admitting affine connections to the description of the effective pairs of Lie algebras) and all invariant affine connections on the spaces

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