Isomorphisms between quantum groups $U_q(\mathfrak{sl}_{n+1})$ and $U_p(\mathfrak{sl}_{n+1})$

Details Isomorphisms between quantum groups $U_q(\mathfrak{sl}_{n+1})$ and $U_p(\mathfrak{sl}_{n+1})$ Isomorphisms between quantum groups $U_q(\mathfrak{sl}_{n+1})$ and $U_p(\mathfrak{sl}_{n+1})$

2010-01-01

arxiv.org/abs/1001.0154v2

Mathematics

Rings and Algebras

This paper has been withdrawn

Scientific paper

Let $\mathbb K$ be a field and suppose $p, q\in\mathbb K^*$ are not roots of
unity. We prove that the two quantum groups $U_q(\mathfrak {sl}_{n+1})$ and
$U_p(\mathfrak{sl}_{n+1})$ are isomorphic as $\mathbb K$-algebras implies that
$p=\pm q^{\pm 1}$ when $n$ is even. This new result answers a classical
question of Jimbo.

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