Symmetric linear functions of the restricted quantum group $\bar{U}_qsl_2(\mathbb{C})$

Details Symmetric linear functions of the restricted quantum group $\bar{U}_qsl_2(\mathbb{C})$ Symmetric linear functions of the restricted quantum group $\bar{U}_qsl_2(\mathbb{C})$

2007-06-08

arxiv.org/abs/0706.1113v1

Mathematics

Quantum Algebra

21 pages

Scientific paper

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 $3p-1$

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