On the biparametric quantum deformation of GL(2) x GL(1)
arXiv:math/0201210 · doi:10.1063/1.1407280
Abstract
We study the biparametric quantum deformation of GL(2) x GL(1) and exhibit its cross-product structure. We derive explictly the associated dual algebra, i.e., the quantised 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 analogue of the deformation is presented as a cross-product algebra.
16 pages LaTeX, published in JMP