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AUTOMORPHISMS OF QUANTUM MATRICES

Published online by Cambridge University Press:  01 October 2013

S. LAUNOIS  and
T. H. LENAGAN
S. LAUNOIS
Affiliation:
School of Mathematics, Statistics and Actuarial Science, University of Kent, Canterbury, Kent CT2 7NF, United Kingdom e-mail: [email protected]
T. H. LENAGAN
Affiliation:
Maxwell Institute for Mathematical Sciences, School of Mathematics, University of Edinburgh, James Clerk Maxwell Building, King's Buildings, Mayfield Road, Edinburgh EH9 3JZ, Scotland, United Kingdom e-mail: [email protected]
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Abstract

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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.

Keywords

20G4216W2016T2017B40
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 55 , Issue A: New developments in Noncommutative Algebra and its applications. A conference in honour of Kenny Brown's and Toby Stafford's 60th birthdays. , October 2013 , pp. 89 - 100
Copyright
Copyright © Glasgow Mathematical Journal Trust 2013 

References

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