Root multiplicities for Nichols Algebras of diagonal type
In this thesis we chase the root multiplicities for Nichols algebras of diagonal type. Based on an inequality for the number of Lyndon words and an identity for the shuffle map, we illustrate when the multiplicity of a root is smaller than in the tensor algebra of a braided vector space of diagonal...
Gespeichert in:
主要作者: | |
---|---|
其他作者: | |
格式: | Dissertation |
语言: | 英语 |
出版: |
Philipps-Universität Marburg
2018
|
主题: | |
在线阅读: | PDF-Volltext |
标签: |
添加标签
没有标签, 成为第一个标记此记录!
|
总结: | In this thesis we chase the root multiplicities for Nichols algebras of diagonal type. Based on an inequality for the number of Lyndon words and an identity for the shuffle map, we illustrate when the multiplicity of a root is smaller than in the tensor algebra of a braided vector space of diagonal type, and determine the dimension of the kernel of the shuffle map considered as an operator acting on the free algebra. Moreover, we give an complete expression for the multiplicities of a class of roots for Nichols algebras of diagonal type of rank two. |
---|---|
实物描述: | 91 Seiten |
DOI: | 10.17192/z2018.0491 |