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

2025/08/16 by Xu, Da, Xu, Xiaoning
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2508.12067

Abstract

This paper aims to study the skew-symmetric super-biderivations of the Hamiltonian superalgebra H(m, n; t). Let H denote the Hamiltonian Lie superalgebra H(m, n; t) over a field of characteristic p > 2. Utilizing the abelian subalgebra TH and the weight space decomposition of H with respect to TH , we show the action of a skew-symmetric super-biderivation on the elements of TH and some specific elements of H. Moreover, we prove that all skew-symmetric super-biderivations of H are inner.

Citations

• Super-biderivations of Cartan type Lie superalgebras
• Biderivations and Commuting Linear Maps on Lie Algebras
• Biderivations of the twisted Heisenberg-Virasoro algebra and their applications
• Biderivations of finite dimensional complex simple Lie algebras
• Super-biderivations of Lie superalgebras
• Biderivations And Linear Commuting Maps on the Schrödinger-Virasoro Lie Algebra
• Biderivations of the Parabolic Subalgebras of Simple Lie Algebras
• Centralizing Maps in Prime Rings with Involution

Related

• Skew-symmetric super-biderivations of the special odd Hamiltonian superalgebra SHO(n, n; t)
• Skew-symmetric super-biderivations of the special Lie superalgebra S(m, n; t)
• Super-biderivations and linear super-commuting maps on simple Lie superalgebras
• Super-biderivations of Cartan type Lie superalgebras
• Super-biderivations of Lie superalgebras