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arXiv · 1112.2883

Automorphisms of quantum matrices

S. Launois·T. H. Lenagan
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Abstract

We study the automorphism group of the algebra $\oqmn$ of $n \times n$ generic quantum matrices. We provide evidence for our conjecture that this group is generated by the transposition and the subgroup of those automorphisms acting on the canonical generators of $\oqmn$ by multiplication by scalars. Moreover, we prove this conjecture in the case when $n=3$.

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S. Launois, T. H. Lenagan. 2013-04-25. Automorphisms of quantum matrices. https://arxiv.org/abs/1112.2883

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