Gr(o)bner-Shirshov Basis of Twisted Generic Composition Algebras of Affine Type

• 来源期刊: 代数集刊（英文版）
• 关键词: Ringel-Hall algebra indecomposable modules Gr(o)bner-Shirshov basis skew-commutator relations
• 年，卷（期）: 2017,（1）
• 页码范围: 109-122
• 页数: 14页
• 语种: 英文
• DOI: 10.1142/S1005386717000074

摘要

In this paper,by using PBW bases for the twisted generic composition algebras of affine type,we prove that the set of the skew-commutator relations of the iso-classes of indecomposable representations forms a minimal Gr(o)bner-Shirshov basis for the twisted generic composition algebras of affine type.