Automorphisms of quantum matrices

Details Automorphisms of quantum matrices Automorphisms of quantum matrices

2011-12-13

arxiv.org/abs/1112.2883v1

Mathematics

Quantum Algebra

14 pages

Scientific paper

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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