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
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
We give a classification of Lie bialgebra structures on generalized loop Schr?dinger-Virasoro algebras st). Then we find out that not all Lie bialgebra structures on generalized loop Schr?dinger-Virasoro algebras st) ...We give a classification of Lie bialgebra structures on generalized loop Schr?dinger-Virasoro algebras st). Then we find out that not all Lie bialgebra structures on generalized loop Schr?dinger-Virasoro algebras st) are triangular coboundary.展开更多
基金This work was supported in part by the National Natural Science Foundation of China （Grant Nos. 10825101, 10861004, 11101266）, SMSTC grant no. 12XD1405000, Fundamental Research Funds for the Central Universities, and Science ＆ Technology Program of Shanghai Maritime University.
文摘We determine the derivation algebra and the automorphism group of the generalized topological N = 2 superconformal algebra.
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.
基金the National Natural Science Foundation of China(Grant Nos.11801369,11771279,11801363,11431010)the Natural Science Foundation of Shanghai(Grant No.16ZR1415000).
文摘We give a classification of Lie bialgebra structures on generalized loop Schr?dinger-Virasoro algebras st). Then we find out that not all Lie bialgebra structures on generalized loop Schr?dinger-Virasoro algebras st) are triangular coboundary.
