Abstract
Quantum matrices in two dimensions, admitting left and right quantum spaces, are classified: they fall into two families, the 2-parametric family GLp,q(2) and a 1-parametric family GL supinfα J(2). Phenomena previously found for GLp,q(2) hold in this general situation: (a) powers of quantum matrices are again quantum and (b) entries of the logarithm of a two-dimensional quantum matrix form a Lie algebra.
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Ewen, H., Ogievetsky, O. & Wess, J. Quantum matrices in two dimensions. Lett Math Phys 22, 297–305 (1991). https://doi.org/10.1007/BF00405605
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DOI: https://doi.org/10.1007/BF00405605