量子群Uq（C3）及其不可约模的Gröbner-Shirshov基
Gröbner-Shirshov Basis of Quantum Group Uq (C 3) and Its Irreducible Modules
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摘要: 为了研究量子群Uq(C3)及其有限维不可约模的Gröbner-Shirshov基,基于赋值图C3的Auslander-Reiten理论和表示的Gröbner-Shirshov基理论,运用Ringel-Hall代数方法,构造了量子群Uq(C3)的Gröbner-Shirshov基,进而用双自由模及钻石-合成引理,给出量子群Uq(C3)的有限维不可约模的Gröbner-Shirshov基.Abstract: Based on Auslander-Reiten theory of valued graph C3 and Gröbner-Shirshov bases for representation theory,First by using the Ringel-Hall algebra approach,a Gröbner-Shirshov basis of quantum group Uq(C3) was constructed. Then, a Gröbner-Shirshov basis of finite dimensional irreducible modules of Uq(C3) was given by using double free module and composition lemma.
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