Publikationsserver
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...
Gardado en:
| Autor Principal: | |
|---|---|
| Outros autores: | |
| Formato: | Dissertation |
| Idioma: | inglés |
| Publicado: |
Philipps-Universität Marburg
2022
|
| Schlagworte: | |
| Acceso en liña: | Texto completo PDF |
| Tags: |
Engadir etiqueta
Sen Etiquetas, Sexa o primeiro en etiquetar este rexistro!
|
| Zusammenfassung: | 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. |
|---|---|
| Descrición Física: | 86 Seiten |
| DOI: | 10.17192/z2022.0112 |