Deformed Fomin-Kirillov Algebras and Applications

Deformed Fomin-Kirillov Algebras and Applications

We consider a deformed version of Fomin-Kirillov algebras and investigate their relation to regular Fomin-Kirillov algebras. We observe that certain subalgebras of a deformed Fomin-Kirillov algebra closely resemble "smaller" Fomin-Kirillov algebras. This observation is used to calculate th...

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Bibliographic Details
Main Author: Röhrig, Bastian
Contributors: Heckenberger, István (Prof. Dr.) (Thesis advisor)
Format: Doctoral Thesis
Language:English
Published: Philipps-Universität Marburg 2016
Subjects:
Hopf-Algebra
Group
Nichols algebra
Symmetrische Gruppe
Gruppe <Mathematik>
Nichols-Algebra
Algebra
Mathematics
Mathematik
symmetric group
Hopf algebra
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Call Number: urn:nbn:de:hebis:04-z2017-00493
Publication Date: 2017-01-12
Date of Acceptance: 2016-12-21
Downloads: 36 (2024), 92 (2023), 57 (2022), 53 (2021), 25 (2020), 44 (2019), 37 (2018)
License: https://rightsstatements.org/vocab/InC-NC/1.0/
Access URL: https://archiv.ub.uni-marburg.de/diss/z2017/0049
https://doi.org/10.17192/z2017.0049

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