Deformations and generalized derivations of Lie conformal superalgebras

Jun Zhao; Liangyun Chen; Lamei Yuan

doi:10.1063/1.5012886

Deformations and generalized derivations of Lie conformal superalgebras

Jun Zhao
, Liangyun Chen^*
, Lamei Yuan

^*Corresponding author for this work

School of Mathematics

Northeast Normal University

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

In this paper, we study deformations and generalized derivations of Lie conformal superalgebras. First, we study conformal derivations of the semidirect product of a Lie conformal superalgebra and its conformal module. Second, we extend the cohomology theory of Lie conformal algebras to the super case and discuss some applications to deformations of Lie conformal superalgebras. Finally, we introduce generalized derivations of Lie conformal superalgebras and study their properties.

Original language	English
Article number	111702
Journal	Journal of Mathematical Physics
Volume	58
Issue number	11
DOIs	https://doi.org/10.1063/1.5012886
State	Published - 1 Nov 2017

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10.1063/1.5012886

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title = "Deformations and generalized derivations of Lie conformal superalgebras",

abstract = "In this paper, we study deformations and generalized derivations of Lie conformal superalgebras. First, we study conformal derivations of the semidirect product of a Lie conformal superalgebra and its conformal module. Second, we extend the cohomology theory of Lie conformal algebras to the super case and discuss some applications to deformations of Lie conformal superalgebras. Finally, we introduce generalized derivations of Lie conformal superalgebras and study their properties.",

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AU - Yuan, Lamei

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N2 - In this paper, we study deformations and generalized derivations of Lie conformal superalgebras. First, we study conformal derivations of the semidirect product of a Lie conformal superalgebra and its conformal module. Second, we extend the cohomology theory of Lie conformal algebras to the super case and discuss some applications to deformations of Lie conformal superalgebras. Finally, we introduce generalized derivations of Lie conformal superalgebras and study their properties.

AB - In this paper, we study deformations and generalized derivations of Lie conformal superalgebras. First, we study conformal derivations of the semidirect product of a Lie conformal superalgebra and its conformal module. Second, we extend the cohomology theory of Lie conformal algebras to the super case and discuss some applications to deformations of Lie conformal superalgebras. Finally, we introduce generalized derivations of Lie conformal superalgebras and study their properties.

UR - https://www.scopus.com/pages/publications/85035002716

U2 - 10.1063/1.5012886

DO - 10.1063/1.5012886

M3 - 文章

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VL - 58

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 11

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Deformations and generalized derivations of Lie conformal superalgebras

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