2 2 Ja n 20 02 On the biparametric quantum deformation of GL ( 2 ) ⊗ GL ( 1 ) Deepak Parashar
نویسنده
چکیده
We study the biparametric quantum deformation of GL(2) ⊗ GL(1) and exhibit its crossproduct 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. J. Math. Phys. 42 (2001) 5431 5443
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Non Standard (or Jordanian) deformations of Lie groups and Lie algebras has been a subject of considerable interest in the mathematical physics community. Jordanian deformations for GL(2) were introduced in [1,2], its two parametric generalisation given in [3] and extended to the supersymmetric case in [4]. Non Standard deformations of sl(2) (i.e. at the algebra level) were first proposed in [5...
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تاریخ انتشار 2002