Generalized conformal derivations of Lie conformal algebras

Fan, Guangzhe; Hong, Yanyong; Su, Yucai

doi:10.48550/arxiv.1602.01159

Cited by 2 publications

(2 citation statements)

References 8 publications

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“…In [6,9], we studied Hom-Nijienhuis operators and T *-extensions of Hom-Lie superalgebras and Hom-Jordan Lie algebras, extending the generalized derivation theory of Lie algebras given in [5]. Recently, similar researches were done for Lie conformal algebras in [4]. In the present paper, we aim to study generalized derivations of Hom-Lie conformal algebras, and extend the cohomology theory of Lie conformal algebras to the Hom case.…”

Section: Introductionmentioning

confidence: 97%

Deformations and generalized derivations of Hom-Lie conformal algebras

2017

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The purpose of this paper is to extend the cohomology and conformal derivation theories of the classical Lie conformal algebras to Hom-Lie conformal algebras. In this paper, we develop cohomology theory of Hom-Lie conformal algebras and discuss some applications to the study of deformations of regular Hom-Lie conformal algebras. Also, we introduce α k -derivations of multiplicative Hom-Lie conformal algebras and study their properties.

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Section: Introductionmentioning

confidence: 97%

Deformations and generalized derivations of Hom-Lie conformal algebras

2017

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“…The cohomology theory of Lie conformal algebras was developed in [1]. Lately, the generalized derivation theory of Lie conformal algebras were studied in [6], extending the generalized derivation theory of Lie algebras given in [8]. [7] study conformal derivations of the semidirect product.…”

Section: Introductionmentioning

confidence: 99%

Deformations and generalized derivations of Lie conformal superalgebras

Zhao

Chen

Yuan

2017

Journal of Mathematical Physics

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The purpose of this paper is to extend the cohomology and conformal derivation theories of the classical Lie conformal algebras to Lie conformal superalgebras. Firstly, we construct the semidirect product of a Lie conformal superalgebra and its conformal module, and study derivations of this semidirect product. Secondly, we develop cohomology theory of Lie conformal superalgebras and discuss some applications to the study of deformations of Lie conformal superalgebras. Finally, we introduce generalized derivations of Lie conformal superalgebras and study their properties.Comment: 26page

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Generalized conformal derivations of Lie conformal algebras

Cited by 2 publications

References 8 publications

Deformations and generalized derivations of Hom-Lie conformal algebras

Deformations and generalized derivations of Hom-Lie conformal algebras

Deformations and generalized derivations of Lie conformal superalgebras

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