We study the structure of the generalized 2-dim affine-Virasoro algebra, and describe its automorphism group. Furthermore, we also determine the irreducibility of a Verma module over the generalized 2-dim affine-Viras...We study the structure of the generalized 2-dim affine-Virasoro algebra, and describe its automorphism group. Furthermore, we also determine the irreducibility of a Verma module over the generalized 2-dim affine-Virasoro algebra.展开更多
In this paper, we mainly determine the compatible left-symmetric algebra structures on the planar Galilean conformal algebra with some natural grading conditions. The results of earlier work on left-symmetric algebra ...In this paper, we mainly determine the compatible left-symmetric algebra structures on the planar Galilean conformal algebra with some natural grading conditions. The results of earlier work on left-symmetric algebra structures on the twisted Heisenberg-Virasoro algebra play an important role in determining these compatible structures. As a corollary, any such left-symmetric algebra contains an infinite-dimensional non-trivial subalgebra that is also a submodule of the regular module.展开更多
In t his paper,Lie super-bialgebra st rue tures on the super-BMS3 algebra are considered.It is proved that all such Lie super-bialgebras are triangular coboundary Lie super-bialgebras.The method we use is mainly based...In t his paper,Lie super-bialgebra st rue tures on the super-BMS3 algebra are considered.It is proved that all such Lie super-bialgebras are triangular coboundary Lie super-bialgebras.The method we use is mainly based on the computation of derivations from the super-BMS3 to the tensor product of its adjoint module.展开更多
We introduce and study the concept of （weak） pseudotwistor for a nonlocal vertex algebra, as a generalization of the notion of twistor. We give the relations between pseudotwistors and twisting operators. Furthermor...We introduce and study the concept of （weak） pseudotwistor for a nonlocal vertex algebra, as a generalization of the notion of twistor. We give the relations between pseudotwistors and twisting operators. Furthermore, we study the inverse of an invertible weak pseudotwistor and the composition of two weak pseudotwistors.展开更多
Let tsns^~ denote the twisted N=1 Schrodinger-Neveu-Schwarz algebra over the complex field C.In this paper,we determine the superskewsymmetric super-biderivations of tsns^~.Furthermore,we prove that every super-skewsy...Let tsns^~ denote the twisted N=1 Schrodinger-Neveu-Schwarz algebra over the complex field C.In this paper,we determine the superskewsymmetric super-biderivations of tsns^~.Furthermore,we prove that every super-skewsymmetric super-biderivation of tsns^~ is inner.展开更多
The topological N=2 superconformal algebra was introduced by Dijkgraaf,Verlinde and Verlinde as the symmetry algebra of topological strings at d<1.We give a classification of irreducible Z×Z-graded modules of ...The topological N=2 superconformal algebra was introduced by Dijkgraaf,Verlinde and Verlinde as the symmetry algebra of topological strings at d<1.We give a classification of irreducible Z×Z-graded modules of the intermediate series over this infinite-dimensional Lie superalgebra.展开更多
文摘We study the structure of the generalized 2-dim affine-Virasoro algebra, and describe its automorphism group. Furthermore, we also determine the irreducibility of a Verma module over the generalized 2-dim affine-Virasoro algebra.
文摘In this paper, we mainly determine the compatible left-symmetric algebra structures on the planar Galilean conformal algebra with some natural grading conditions. The results of earlier work on left-symmetric algebra structures on the twisted Heisenberg-Virasoro algebra play an important role in determining these compatible structures. As a corollary, any such left-symmetric algebra contains an infinite-dimensional non-trivial subalgebra that is also a submodule of the regular module.
基金J.C.Sun would like to thank the support of NNSFC grant 11671247H.Y.Yang would like to thank the support of Natural Science Foundation of Shanghai(Grant No.16ZR1415000)NNSFC grants 11771279 and 11801363.
文摘In t his paper,Lie super-bialgebra st rue tures on the super-BMS3 algebra are considered.It is proved that all such Lie super-bialgebras are triangular coboundary Lie super-bialgebras.The method we use is mainly based on the computation of derivations from the super-BMS3 to the tensor product of its adjoint module.
基金This work was supported in part by the National Natural Science Foundation of China （Grant Nos. 11201285, 11371238） and a grant of the First-class Discipline of Universities in Shanghai.
文摘We introduce and study the concept of （weak） pseudotwistor for a nonlocal vertex algebra, as a generalization of the notion of twistor. We give the relations between pseudotwistors and twisting operators. Furthermore, we study the inverse of an invertible weak pseudotwistor and the composition of two weak pseudotwistors.
基金J.-C.Sun’s work was supported by the National Natural Science Foundation of China(Grant Nos.11671247,11931009).
文摘Let tsns^~ denote the twisted N=1 Schrodinger-Neveu-Schwarz algebra over the complex field C.In this paper,we determine the superskewsymmetric super-biderivations of tsns^~.Furthermore,we prove that every super-skewsymmetric super-biderivation of tsns^~ is inner.
基金supported by the National Natural Science Foundation of China(Grant Nos.11771279,11661063,11671247,11801363,11931009)the Natural Science Foundation of Shanghai(Grant No.16ZR1415000)the Fundamental Research Funds for the Central Universities(Grant No.JZ2019HGTB0056).
文摘The topological N=2 superconformal algebra was introduced by Dijkgraaf,Verlinde and Verlinde as the symmetry algebra of topological strings at d<1.We give a classification of irreducible Z×Z-graded modules of the intermediate series over this infinite-dimensional Lie superalgebra.
