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On the representation theory of braided Hopf-algebras.
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...
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| Định dạng: | Dissertation |
| Ngôn ngữ: | Tiếng Anh |
| Được phát hành: |
Philipps-Universität Marburg
2022
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| Những chủ đề: | |
| Truy cập trực tuyến: | Bài toàn văn PDF |
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| Tóm tắt: | 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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| Mô tả vật lý: | 86 Seiten |
| DOI: | 10.17192/z2022.0112 |