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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Bibliografiske detaljer
Hovedforfatter: Zheng, Ying
Andre forfattere: Heckenberger, Istvan (Prof. Dr.) (BetreuerIn (Doktorarbeit))
Format: Dissertation
Sprog:engelsk
Udgivet: Philipps-Universität Marburg 2018
Fag:
Lyndon-Wörter
multiplicities
Lyndon words
Mathematik
Multiplizitäten
root
Wurzel
Nichols-Algebren
Nichols algebras
Mathematics
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Klassifikationsnummer: urn:nbn:de:hebis:04-z2018-04910
Publikationsdatum: 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
Zugangs-URL: https://archiv.ub.uni-marburg.de/diss/z2018/0491
https://doi.org/10.17192/z2018.0491

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