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arxiv: 1807.03638 · v1 · pith:SB2MVYQDnew · submitted 2018-07-08 · 🧮 math.RA

Representations and derivations of Hom-Lie conformal superalgebras

classification 🧮 math.RA
keywords conformalhom-liesuperalgebrasderivationsdiscussintroducerepresentationstheory
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In this paper, we introduce a representation theory of Hom-Lie conformal superalgebras and discuss the cases of adjoint representations. Furthermore, we develop cohomology theory of Hom-Lie conformal superalgebras and discuss some applications to the study of deformations of regular Hom-Lie conformal superalgebras. Finally, we introduce derivations of multiplicative Hom-Lie conformal superalgebras and study their properties.

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