On δ-Hom-Jordan Lie conformal superalgebras

In this paper, we introduce the representation theory of δ-Hom-Jordan Lie conformal superalgebras and discuss the case of adjoint representations. Furthermore, we develop the cohomology theory of δ-Hom-Jordan Lie conformal superalgebras and discuss some applications to the study of deformations of r...

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Veröffentlicht in:Journal of geometry and physics 2020-09, Vol.155, p.103745, Article 103745
Hauptverfasser: Guo, Shuangjian, Wang, Shengxiang
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we introduce the representation theory of δ-Hom-Jordan Lie conformal superalgebras and discuss the case of adjoint representations. Furthermore, we develop the cohomology theory of δ-Hom-Jordan Lie conformal superalgebras and discuss some applications to the study of deformations of regular δ-Hom-Jordan Lie conformal superalgebras. Finally, we introduce derivations of multiplicative δ-Hom-Jordan Lie conformal superalgebras and study their properties.
ISSN:0393-0440
1879-1662
DOI:10.1016/j.geomphys.2020.103745