1 7 M ar 2 00 4 Nichols algebras of U q ( g ) - modules ⋆
نویسنده
چکیده
A technique is developed to reduce the investigation of Nichols algebras of integrable Uq(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’dKirillov 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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