Root multiplicities for Nichols Algebras of diagonal type

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...

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Detalles Bibliográficos
Autor Principal: Zheng, Ying
Outros autores: Heckenberger, Istvan (Prof. Dr.) (BetreuerIn (Doktorarbeit))
Formato: Dissertation
Idioma:inglés
Publicado: Philipps-Universität Marburg 2018
Schlagworte:
Lyndon-Wörter
multiplicities
Lyndon words
Mathematik
Multiplizitäten
root
Wurzel
Nichols-Algebren
Nichols algebras
Mathematics
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