Symplectic alternating nil-algebras

被引：5

作者：

Tortora, Antonio ^{[2
]}

Tota, Maria ^{[2
]}

Traustason, Gunnar ^{[1
]}

机构：

[1] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, England

[2] Univ Salerno, Dipartimento Matemat, I-84084 Fisciano, SA, Italy

来源：

JOURNAL OF ALGEBRA | 2012年 / 357卷

关键词：

Symplectic; Alternating; Nilpotent; POWERFUL 2-ENGEL GROUPS;

D O I：

10.1016/j.jalgebra.2012.02.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we continue developing the theory of symplectic alternating algebras that was started in Traustason (2008) [3]. We focus on nilpotency, solubility and nil-algebras. We show in particular that symplectic alternating nil-2 algebras are always nilpotent and classify all nil-algebras of dimension up to 8. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：183 / 202

页数：20