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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Bibliografische gegevens
Hoofdauteur: Zheng, Ying
Andere auteurs: Heckenberger, Istvan (Prof. Dr.) (Thesis begeleider)
Formaat: Dissertation
Taal:Engels
Gepubliceerd in: Philipps-Universität Marburg 2018
Onderwerpen:
Lyndon-Wörter
multiplicities
Lyndon words
Mathematik
Multiplizitäten
root
Wurzel
Nichols-Algebren
Nichols algebras
Mathematics
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Plaatsingsnummer: urn:nbn:de:hebis:04-z2018-04910
Publicatiedatum: 2018-10-22
Datum der Annahme: 2018-09-26
Downloads: 49 (2024), 50 (2023), 26 (2022), 40 (2021), 28 (2020), 39 (2019), 14 (2018)
Lizenz: https://creativecommons.org/licenses/by/4.0
URL naar item: https://archiv.ub.uni-marburg.de/diss/z2018/0491
https://doi.org/10.17192/z2018.0491

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