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Nichols algebras of U_q(g)-modules

Stefan Ufer
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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.

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Stefan Ufer. 2004-03-17. Nichols algebras of U_q(g)-modules. https://arxiv.org/abs/math/0403282

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