Skew-symmetric super-biderivations of the special odd Hamiltonian superalgebra SHO(n, n; t)

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

paper · doi:10.48550/arxiv.2508.12069

Abstract

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

Citations

• 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

Related

• 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)
• Super-biderivations and linear super-commuting maps on simple Lie superalgebras
• Derivations from the even parts into the odd parts for Hamiltonian superalgebras
• Derivations of the finite-dimensional special odd Hamiltonian superalgebras