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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Bibliographic Details
Main Author: Zheng, Ying
Contributors: Heckenberger, Istvan (Prof. Dr.) (Thesis advisor)
Format: Doctoral Thesis
Language:English
Published: Philipps-Universität Marburg 2018
Subjects:
Lyndon-Wörter
multiplicities
Lyndon words
Mathematik
Multiplizitäten
root
Wurzel
Nichols-Algebren
Nichols algebras
Mathematics
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Call Number: urn:nbn:de:hebis:04-z2018-04910
Publication Date: 2018-10-22
Date of Acceptance: 2018-09-26
Downloads: 51 (2024), 50 (2023), 26 (2022), 40 (2021), 28 (2020), 39 (2019), 14 (2018)
License: https://creativecommons.org/licenses/by/4.0
Access URL: https://archiv.ub.uni-marburg.de/diss/z2018/0491
https://doi.org/10.17192/z2018.0491

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