Biderivations of the twisted Heisenberg-Virasoro algebra and their applications

2017/03/31 by Xiaomin Tang, Xiaotong Li, Tang, Xiaomin +1 · 2 citations
Mathematics · #17B05 #17B40 #17B68 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1703.10755

openalex publication_date 2017/03/31 · openalex created_date 2017/04/14 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Commuting Maps of Triangular Algebras
• Derivations in prime rings
• Biderivations of the Parabolic Subalgebras of Simple Lie Algebras

Cited by

• Skew-symmetric super-biderivations of the Hamiltonian superalgebra H(m, n; t)
• Skew-symmetric super-biderivations of the special Lie superalgebra S(m, n; t)

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