Leibniz Central Extension on the Twisted Schrödinger-Virasoro Algebra [PDF]
arXiv, 2008 In this paper we present all the Leibniz 2-cocycles of the twisted Schr\"{o}dinger-Virasoro algebra, which determine its second Leibniz cohomology group.
arxiv
Gradings on simple algebras of finitary matrices [PDF]
arXiv, 2009 We describe gradings by finite abelian groups on the associative algebras of infinite matrices with finitely many nonzero entries, over an algebraically closed field of characteristic zero.
arxiv
Hydroclimatic and cultural instability in northeastern North America during the last millennium. [PDF]
PLoS One, 2021 Stager JC +5 more
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Maximal graded subalgebras of Witt and Special superalgebras [PDF]
arXiv, 2009 This paper has been withdrawn by the author due to that the main results and approaches are closedly parallel to the ones in Lie algebra case.
arxiv
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