Derivations and automorphisms of twisted deformative Schrödinger-Virasoro Lie algebras [PDF]
Communications in Algebra, 40: 3365-3388, 2012, 2010 In this paper the derivation algebra and automorphism group of the twisted deformative Schr\"{o}dinger-Virasoro Lie algebras are determined.
arxiv
Fine gradings on exceptional simple Lie superalgebras [PDF]
arXiv, 2011 The fine abelian group gradings on the simple exceptional classical Lie superalgebras over algebraically closed fields of characteristic 0 are determined up to equivalence.
arxiv
The groups of automorphisms of the Lie algebras of unitriangular polynomial derivations [PDF]
arXiv, 2012 The groups of automorphisms of the Lie algebras of unitriangular polynomial derivations are found.
arxiv
Every monomorphism of the Lie algebra of unitriangular polynomial derivations is an automorphism [PDF]
arXiv, 2012 We prove that every monomorphism of the Lie algebra $\ggu_n$ of unitriangular derivations of the polynomial algebra $P_n=K[x_1,..., x_n]$ is an automorphism.
arxiv
Deformed higher rank Heisenberg-Virasoro algebras [PDF]
arXiv, 2020 In this paper, we study a class of infinitesimal deformations of the centerless higher rank Heisenberg-Virasoro algebras. Explicitly, the universal central extensions, derivations and isomorphism classes of these algebras are determined.
arxiv
The derivation algebra and automorphism group of the (generalized) twisted N=2 superconformal algebra [PDF]
arXiv, 2013 In this paper, we determine the derivation algebra and automorphism group of the twisted N=2 superconformal algebra. Then we generalize the relative results to the generalized twisted N=2 superconformal algebra in the final section.
arxiv
Group gradings on filiform Lie algebras [PDF]
arXiv, 2013 We classify, up to isomorphism, gradings by abelian groups on nilpotent filiform Lie algebras of nonzero rank. In case of rank 0, we describe conditions to obtain non trivial $\Z_k$-gradings.
arxiv
The groups of automorphisms of the Lie algebras of polynomial vector fields with zero or constant divergence [PDF]
arXiv, 2013 The group of automorphisms is found for the Lie algebra of polynomial vector fields with constant divergence.
arxiv
Gradings of null-filiform and naturally graded filiform Leibniz algebras
, 2017 In the paper we describe all gradings admitting on null-filiform and naturally graded filiform Leibniz algebras.Comment: 9 ...
Calderón, Antonio +3 more
core
The groups of automorphisms of the Lie algebras of formally analytic vector fields with constant divergence [PDF]
arXiv, 2013 The groups of automorphisms of the Lie algebras of formally analytic vector fields with constant divergence are found.
arxiv