Biderivations of the twisted Heisenberg-Virasoro algebra and their applications
classification
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algebraheisenberg-virasorotwistedbiderivationsapplicationsbiderivationcharacterizationscommutative
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In this paper, the biderivations without the skew-symmetric condition of the twisted Heisenberg-Virasoro algebra are presented. We find some non-inner and non-skew-symmetric biderivations. As applications, the characterizations of the forms of linear commuting maps and the commutative post-Lie algebra structures on the twisted Heisenberg-Virasoro algebra are given. It also is proved that every biderivation of the graded twisted Heisenberg-Virasoro left-symmetric algebra is trivial.
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