%0 Journal Article %T Symmetric linear functions of the restricted quantum group $\bar{U}_qsl_2(\mathbb{C})$ %A Yusuke Arike %J Mathematics %D 2007 %I arXiv %X We determine a set of primitive idempotents and the basic algebra of the restricted quantum group $\bar{U}_qsl_2(\mathbb{C})$. As a result, we can show the dimension of the space of symmetric linear functions of $\bar{U}_qsl_2(\mathbb{C})$ is $3p-1$ %U http://arxiv.org/abs/0706.1113v1