
arXiv: math/0201210
We study the biparametric quantum deformation of GL(2)⊗GL(1) and exhibit its cross-product structure. We derive explicitly the associated dual algebra, i.e., the quantized universal enveloping algebra employing the R-matrix procedure. This facilitates construction of a bicovariant differential calculus which is also shown to have a cross-product structure. Finally, a Jordanian analog of the deformation is presented as a cross-product algebra.
81R50, 81R50; 17B37, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), FOS: Physical sciences, Mathematical Physics (math-ph), 17B37, Mathematical Physics
81R50, 81R50; 17B37, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), FOS: Physical sciences, Mathematical Physics (math-ph), 17B37, Mathematical Physics
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