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The quantum group GLh(2)

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, , Citation B A Kupershmidt 1992 J. Phys. A: Math. Gen. 25 L1239 DOI 10.1088/0305-4470/25/22/003

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1 Tennessee Univ. Space Inst., Tullahoma, TN, USA

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0305-4470/25/22/L1239

Abstract

Among all quantum group structures on the space Mat(2) of 2 by 2 matrices, how many have a central quantum determinant, so that one can define quantum SL(2) out of quantum GL(2)? Up to isomorphism, there are two such structures, GLq(2) and GLh(2). The former is well known, the latter is described in this letter.

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10.1088/0305-4470/25/22/003