Nichols algebras of U_q(g)-modules
Quantum Algebra
2009-09-29 v1
Abstract
A technique is developed to reduce the investigation of Nichols algebras of integrable U_q(g)-modules to the investigation of Nichols algebras of braided vector spaces with diagonal braiding. The results are applied to obtain information on the Gelfan'd-Kirillov dimension of these Nichols algebras and their defining relations if the braiding is of a special type and q is not a root of unity. For simple g the cases of finite Gelfand-Kirillov dimension are determined completely.
Keywords
Cite
@article{arxiv.math/0403282,
title = {Nichols algebras of U_q(g)-modules},
author = {Stefan Ufer},
journal= {arXiv preprint arXiv:math/0403282},
year = {2009}
}