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

来源 :代数集刊(英文版) | 被引量 : 0次 | 上传用户:Liujiajia0801
下载到本地 , 更方便阅读
声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架
论文部分内容阅读
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.
其他文献
Let G be a finite group.For k ∈ N,x ∈ Irr(G),define cx(k):=1/|G| Σg∈G x(gk).This is called the k-th Frobenius-Schur indicator of x.In this article we study
Every language is either the disjoint union or the intersection of two disjunctive languages.The family of f-disjunctive languages is a natural generalization o
The unit graph of a ring is the simple graph whose vertices are the elements of the ring and where two distinct vertices are adjacent if and only if their sum i
本文简述了儒、释(佛)、道三教在中国历史上从对立、争斗、融合到最终走向合一的重大历史进程,并通过对中国传统宗教建筑结构、布局、雕塑形象和祭祀人物的分析,阐述了“三教
Bokut,Chen and Huang proved that every countably generated L-algebra over a countable field can be embedded into a simple two-generated L-algebra.In this paper,
"圈舞"是人类最初创造的舞蹈艺术形式之一,中华大地上的"圈舞"舞蹈文化遗存历史悠久,形式丰富,传播地域广泛,堪称活着的舞蹈"化石",它也是民族文化的一种重要信息载体,昭示着
本文分析了市场对数字小区的主要需求,提出了美格新一代数字小区整体解决方案,解决了目前智能小区建设过程中所存在的主要缺陷,并配套介绍了美格数字小区相关产品。 This ar
Let S =K[x1,…,xn;y1,…,ym] be the polynomial ring in two sets of variables over a field K.We investigate some classes of graph ideals of S,namely the generaliz
The notion of D-mutation pairs of subcategories in an n-exangulated category is defined in this article.When (Z,Z) is a D-mutation pair in an n-exangulated cate
It is shown that there are no simple mixed modules over the twisted N =1 Schr(o)dinger-Neveu-Schwarz algebra,which implies that every irreducible weight module