Symplectic alternating nil-algebras

JOURNAL OF ALGEBRA

卷:357

Article

Tortora, Antonio²  Tota, Maria²  Traustason, Gunnar¹ 

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

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

关键词: Symplectic;    Alternating;    Nilpotent;   

DOI  :  10.1016/j.jalgebra.2012.02.012

来源: Elsevier

【 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.

【 授权许可】

Free