Two-parameter nonstandard deformation of 2x2 matrices

Details Two-parameter nonstandard deformation of 2x2 matrices Two-parameter nonstandard deformation of 2x2 matrices

2001-12-13

arxiv.org/abs/math/0112140v1

J. Math. Phys 40 (1999), 3553-3560

Mathematics

Quantum Algebra

10 pages

Scientific paper

10.1063/1.532907

We introduce a two-parameter deformation of 2x2 matrices without imposing any condition on the matrices and give the universal R-matrix of the nonstandard quantum group which satisfies the quantum Yang-Baxter relation. Although in the standard two-parameter deformation the quantum determinant is not central, in the nonstandard case it is central. We note that the quantum group thus obtained is related to the quantum supergroup $GL_{p,q}(1|1)$ by a transformation.

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