On finite GK-dimensional Nichols algebras of diagonal type
Quantum Algebra
2018-03-26 v1 Rings and Algebras
Abstract
It was conjectured in \texttt{\small arXiv:1606.02521} that a Nichols algebra of diagonal type with finite Gelfand-Kirillov dimension has finite (generalized) root system. We prove the conjecture assuming that the rank is 2. We also show that a Nichols algebra of affine Cartan type has infinite Gelfand-Kirillov dimension.
Cite
@article{arxiv.1803.08804,
title = {On finite GK-dimensional Nichols algebras of diagonal type},
author = {Nicolás Andruskiewitsch and Iván Angiono and István Heckenberger},
journal= {arXiv preprint arXiv:1803.08804},
year = {2018}
}
Comments
25 pages