Publications of the Research Institute for Mathematical Sciences


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Volume 50, Issue 4, 2014, pp. 663–694
DOI: 10.4171/PRIMS/146

Published online: 2014-10-22

Non-symmetrizable Quantum Groups: Defining Ideals and Specialization

Xin Fang[1]

(1) Universität Köln, Germany

Two generating sets of the de ning ideal of a Nichols algebra of diagonal type were proposed, which are then applied to study the bar involution and the specialization problem for quantum groups associated to non-symmetrizable generalized Cartan matrices.

Keywords: Nichols algebra, quantum group, defining ideal, specialization

Fang Xin: Non-symmetrizable Quantum Groups: Defining Ideals and Specialization. Publ. Res. Inst. Math. Sci. 50 (2014), 663-694. doi: 10.4171/PRIMS/146