On 2-Nilpotent Multiplier of Lie Superalgebras

2020/06/19 by Padhan, Rudra Narayan, Nandi, Nupur, Pati, K. C.
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2006.10970

Abstract

In this article we define the c-nilpotent multiplier of a finite dimensional Lie suepralgebra. We characterize the structure of 2-nilpotent multiplier of finite dimensional nilpotent Lie superalgebras whose derived subalgebras have dimension at most one. Then we give an upper bound on the dimension of 2-nilpotent multiplier of any finite dimensional nilpotent Lie superalgebra. Moreover, we discuses the 2-capability of special as well as odd Heisenberg Lie superalgebras and abelian Lie superalgebras.

Related

• The 2-nilpotent multiplier of n-Lie algebras and its applications
• Classification of nilpotent Lie superalgebras of multiplier-rank ≤ 2
• Multipliers of nilpotent Lie superalgebras
• On the dimension of the Schur multiplier of nilpotent Lie superalgebras
• Characterizing nilpotent Lie algebras rely on the dimension of their 2-nilpotent multipliers