arXiv:2002.11087 [math.QA]AbstractReferencesReviewsResources
Finite GK-dimensional pre-Nichols algebras of quantum linear spaces and of Cartan type
Nicolás Andruskiewitsch, Guillermo Sanmarco
Published 2020-02-25Version 1
We study pre-Nichols algebras of quantum linear spaces and of Cartan type with finite GK-dimension. We prove that out of a short list of exceptions involving only roots of order 2, 3, 4, 6, any such pre-Nichols algebra is a quotient of the distinguished pre-Nichols algebra introduced by Angiono generalizing the De Concini-Procesi quantum groups. There are two new examples, one of which can be thought of as $G_2$ at a third root of one.
Comments: 34 pages
Categories: math.QA
Related articles: Most relevant | Search more
arXiv:1607.07857 [math.QA] (Published 2016-07-26)
Liftings of Nichols algebras of diagonal type III. Cartan type $G_2$
Representations of tensor categories coming from quantum linear spaces
Cocycle deformations for liftings of quantum linear spaces