Deformation by cocycles of pointed Hopf algebras over non-abelian groups
We explore a method for explicitly constructing multiplicative 2-cocycles for bosonizations of Nichols algebras B(V) over Hopf algebras H. These cocycles arise as liftings of H-invariant linear functionals on V ⊗ V and give a formula for deforming braidedcommutator-type relations. Using this constru...
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Articulo Preprint |
| Lenguaje: | Inglés |
| Publicado: |
2015
|
| Materias: | |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/132104 |
| Aporte de: |
| Sumario: | We explore a method for explicitly constructing multiplicative 2-cocycles for bosonizations of Nichols algebras B(V) over Hopf algebras H. These cocycles arise as liftings of H-invariant linear functionals on V ⊗ V and give a formula for deforming braidedcommutator-type relations. Using this construction, we show that all known finite-dimensional pointed Hopf algebras over the dihedral groups Dm with m = 4t ≥ 12, over the symmetric group S3, and some families over S4 are cocycle deformations of bosonizations of Nichols algebras. |
|---|