Beschreibung:
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.