Finite GK-Dimensional pre-Nichols algebras of super and standard type
Quantum Algebra
2020-09-11 v1 Rings and Algebras
Abstract
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.
Keywords
Cite
@article{arxiv.2009.04863,
title = {Finite GK-Dimensional pre-Nichols algebras of super and standard type},
author = {Iván Angiono and Emiliano Campagnolo and Guillermo Sanmarco},
journal= {arXiv preprint arXiv:2009.04863},
year = {2020}
}
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46 pages