AUTOMORPHISMS OF QUANTUM MATRICES

We study the automorphism group of the algebra $\co_q(M_n)$ 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 $\co_q(M_n)$ by multiplication by scal...

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Bibliographic Details
Published in:Glasgow mathematical journal 2013-10, Vol.55 (A), p.89-100
Main Authors: LAUNOIS, S., LENAGAN, T. H.
Format: Article
Language:English
Subjects:
Algebra
Quantum theory
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Summary:We study the automorphism group of the algebra $\co_q(M_n)$ 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 $\co_q(M_n)$ by multiplication by scalars. Moreover, we prove this conjecture in the case when n = 3.
ISSN:0017-0895
1469-509X
DOI:10.1017/S0017089513000529