Dokument
Titel: | On the representation theory of braided Hopf-algebras. |
Autor: | Alia, Abdalla |
Weitere Beteiligte: | Heckenberger, István (Prof. Dr.) |
Veröffentlicht: | 2022 |
URI: | https://archiv.ub.uni-marburg.de/diss/z2022/0112 |
DOI: | https://doi.org/10.17192/z2022.0112 |
URN: | urn:nbn:de:hebis:04-z2022-01128 |
DDC: | 510 Mathematik |
Publikationsdatum: | 2022-05-25 |
Lizenz: | https://rightsstatements.org/vocab/InC-NC/1.0/ |
Schlagwörter: |
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Summary:
The body of work is designed for the representation theory of deformed Fomin-Kirillov algebras using Gabriel’s theorem. In particular, we proved that for the spacial case of n= 4. The basic deformation admits a decomposition into Nil-Coxeter algebras of type S4 while the non-basic deformation admits a graded “deformation” of a symmetric algebra. Furthermore, we studied special types of subalgebras based on subgraphs. In particular, We proved that the sub-algebras based on Dynkin type quiver are isomorphic to Iwahori-Hecke algebras and concluded with providing an equivalence for the the semisimpicity of the sub-algebra based on type D_4.
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