In this paper,all symmetric super-biderivations of some Lie superalgebras are determined.As an application,commutative post-Lie super algebra structures on these Lie super algebras are also obtained.
We mainly study the super-biderivations of not-finitely graded Lie superalgebras related to generalized super-Virasoro algebras.In particular,we prove that all super-biderivations of not-finitely graded Lie superalgeb...We mainly study the super-biderivations of not-finitely graded Lie superalgebras related to generalized super-Virasoro algebras.In particular,we prove that all super-biderivations of not-finitely graded Lie superalgebras related to generalized super-Virasoro algebras are inner.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
基金Supported by NNSF(Grant Nos.12071405,11971315)Xinjiang Uygur Autonomous Region graduate scientific research innovation project(Grant No.XJ2021G021)。
文摘In this paper,all symmetric super-biderivations of some Lie superalgebras are determined.As an application,commutative post-Lie super algebra structures on these Lie super algebras are also obtained.
基金supported in part by the National Natural Science Foundation of China(Grant Nos.11601135,11701158,11771069)the Natural Science Foundation of Heilongjiang Province of China(Grant Nos.QC2017002,LH2020A020)the Project funded by China Postdoctoral Science Foundation(Grant No.2018M630311).
文摘We mainly study the super-biderivations of not-finitely graded Lie superalgebras related to generalized super-Virasoro algebras.In particular,we prove that all super-biderivations of not-finitely graded Lie superalgebras related to generalized super-Virasoro algebras are inner.
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.
