2-capability and 2-nilpotent multiplier of finite dimensional nilpotent Lie algebras

JOURNAL OF GEOMETRY AND PHYSICS

卷:121

Article

Niroomand, Peyman¹  Parvizi, Mohsen² 

[1] Damghan Univ, Sch Math & Comp Sci, Damghan, Iran

[2] Ferdowsi Univ Mashhad, Dept Pure Math, Mashhad, Iran

关键词: 2-capable Lie algebra;    Heisenberg algebras;    Derived subalgebra;    2-nilpotent multiplier;   

DOI  :  10.1016/j.geomphys.2017.07.003

来源: Elsevier

【 摘 要 】

In the present context, we investigate to obtain some more results about 2-nilpotent multiplier M-(2)(L) of a finite dimensional nilpotent Lie algebra L. For instance, we characterize the structure of M-(2)(H) when H is a Heisenberg Lie algebra. Moreover, we give some inequalities on dim M-(2)(L) to reduce a well known upper bound on 2-nilpotent multiplier as much as possible. Finally, we show that H(m) is 2-capable if and only if m = 1. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free