Finite GK-Dimensional pre-Nichols algebras of super and standard type
We prove that finite GK-dimensional pre-Nichols algebras of super and standard type are quotients of the corresponding distinguished pre-Nichols algebras, except when the braiding matrix is of type super A and the dimension of the braided vector space is three. For these two exceptions we explicitly construct substitutes as braided central extensions of the corresponding pre-Nichols algebras by a polynomial ring in one variable. Via bosonization this gives new examples of finite GK-dimensional Hopf algebras.
- Pub Date:
- September 2020
- Mathematics - Quantum Algebra;
- Mathematics - Rings and Algebras
- 46 pages