On defining ideals and differential algebras of Nichols algebras
On defining ideals and differential algebras of Nichols algebras
复制标题
DOI：
10.1016/j.jalgebra.2011.08.029
复制
发表时间：
2011-04
期刊：
影响因子：
--
通讯作者：
X. Fang
中科院分区：
文献类型：
--
作者：
X. Fang
本文从辫子群的群代数中特定元素的分解出发，研究了Nichols代数的定义理想。一族原始元素的发现和算法提出。为了证明主要结果，构造了Nichols代数的微分代数。此外，还对Serre关系提出了另一种观点。
This paper is devoted to understanding the defining ideal of a Nichols algebra from the decomposition of specific elements in the group algebra of braid groups. A family of primitive elements is found and algorithms are proposed. To prove the main result, the differential algebra of a Nichols algebra is constructed. Moreover, another point of view on Serre relations is provided.