2011/12/13 by Stéphane Launois, Launois, S., T. H. Lenagan +1 · 1 citation
Mathematics · #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.1112.2883
openalex publication_date 2011/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the automorphism group of the algebra \oqmn of n × 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.