Zobrazeno 1 - 10
of 100
pro vyhledávání: '"Omirov, Bakhrom"'
In this paper we establish some basic properties of superderivations of Lie superalgebras. Under certain conditions, for solvable Lie superalgebras with given nilradicals, we give estimates for upper bounds to dimensions of complementary subspaces to
Externí odkaz:
http://arxiv.org/abs/2402.11479
Autor:
Omirov, Bakhrom, Solijanova, Gulkhayo
In the present paper under certain conditions the description of maximal solvable extension of nilpotent Lie superalgebras is obtained. Namely, we establish that under the condition which ensures the fulfillment of an analogue of Lie's theorem, a max
Externí odkaz:
http://arxiv.org/abs/2402.03012
In this paper we describe solvable Leibniz algebras whose quotient algebra by one-dimensional ideal is a Lie algebra with rank equal to the length of the characteristic sequence of its nilpotent radical. We prove that such Leibniz algebra is unique a
Externí odkaz:
http://arxiv.org/abs/1908.02360
In this paper is devoted to nilpotent finite-dimensional evolution algebras E with $dimE^2 = dimE-1$. We described Lie algebras associated with evolution algebras whose nilindex is maximal. Moreover, in terms of this Lie algebra we fully construct ni
Externí odkaz:
http://arxiv.org/abs/1805.10285
The present paper is devoted to provide conditions for the Levi--Malcev theorem to hold or not to hold (i.e. for two Levi subalgebras to be or not conjugate by an inner automorphism) in the context of finite-dimensional Leibniz algebras over a field
Externí odkaz:
http://arxiv.org/abs/1710.10859
The present paper is devoted to the description of finite-dimensional semisimple Leibniz algebras over complex numbers, their derivations and automorphisms.
Comment: 13 pages
Comment: 13 pages
Externí odkaz:
http://arxiv.org/abs/1708.08082
We classify, up to equivalences, all abelian groups gradings on null-filiform and one-parametric filiform Leibniz algebras. Any grading on a null-filiform Leibniz algebra is toral but there are non-toral gradings on one-parametric filiform Leibniz al
Externí odkaz:
http://arxiv.org/abs/1708.01753
The present paper is devoted to local and 2-local derivations and automorphism of complex finite-dimensional simple Leibniz algebras. We prove that all local derivations and 2-local derivations on a finite-dimensional complex simple Leibniz algebra a
Externí odkaz:
http://arxiv.org/abs/1703.10506
Autor:
Omirov, Bakhrom, Wagemann, Friedrich
In this article, we generalize Richardson's example of a rigid Lie algebra with non-trivial $H^2$ to the Leibniz setting. Namely, we consider the hemisemidirect product ${\mathfrak h}$ of a semidirect product Lie algebra $M_k\rtimes{\mathfrak g}$ of
Externí odkaz:
http://arxiv.org/abs/1508.06877
Publikováno v:
Linear & Multilinear Algebra; Sep2024, Vol. 72 Issue 13, p2197-2220, 24p
