The structure, capability and the Schur multiplier of generalized Heisenberg Lie algebras

被引：11
作者：
Niroomand, Peyman [1 ]
Johari, Farangis [2 ]
机构：
[1] Damghan Univ, Sch Math & Comp Sci, Damghan, Iran
[2] Ferdowsi Univ Mashhad, Dept Pure Math, Mashhad, Iran
来源：
JOURNAL OF ALGEBRA | 2018年 / 505卷
关键词：
Schur multiplier; Nilpotent Lie algebra; Capability; Generalized Heisenberg;
D O I：
10.1016/j.jalgebra.2018.03.014
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
From Berkovich and Janko [3, Problem 1729] asked to obtain the Schur multiplier and the representation of a group G, when G is a special p-group minimally generated by d elements and vertical bar G'vertical bar = p(1/2 d(d-1)). Here, we intend to give an answer to this question similarly for nilpotent Lie algebras. Furthermore, we give some results about the tensor square and the Schur multiplier of some nilpotent Lie algebras of class two. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：482 / 489
页数：8
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