Automorphisms of quantum matrices

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 $n=3$.

15 pages; to appear in Glasgow Mathematical Journal

References in corpus (1)

• The Launois-Lenagan conjecture

Cited by in corpus (2)

• The Launois-Lenagan conjecture
• Rigidity of quantum tori and the Andruskiewitsch-Dumas conjecture