On the biparametric quantum deformation of GL(2) ⊗ GL(1)

Deepak Parashar

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Submission date: 02. Jan. 2002
Pages: 18
published in: Journal of mathematical physics, 42 (2001) 2, p. 5431-5443 
DOI number (of the published article): 10.1063/1.1407280
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Abstract:
We study the biparametric quantum deformation of and exhibit its cross-product structure. We derive explicitly 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.