Super-biderivations and super-commuting maps on the super Galilean conformal algebras. (English) Zbl 1430.17050
Summary: Let \(\mathfrak{g}\) be the super Galilean conformal algebra. In this paper, we first determine all the super-skewsymmetric super-biderivations of \(\mathfrak{g}\). In particular, we find that there exist non-inner super-biderivations of \(\mathfrak{g}\). Based on the result of super-biderivations, we show that all the linear super-commuting maps on \(\mathfrak{g}\) are standard.
MSC:
| 17B40 | Automorphisms, derivations, other operators for Lie algebras and super algebras |
| 17B68 | Virasoro and related algebras |
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