Differential calculus on a novel cross-product quantum algebra
Parashar, Deepak
arXiv, 0305188 / Harvested from arXiv
Text on arXiv
We investigate the algebro-geometric structure of a novel two-parameter quantum deformation which exhibits the nature of a semidirect or cross-product algebra built upon GL(2) x GL(1), and is related to several other known examples of quantum groups. Following the R-matrix framework, we construct the L+/- functionals and address the problem of duality for this quantum group. This naturally leads to the construction of a bicovariant differential calculus that depends only on one deformation parameter, respects the cross-product structure and has interesting applications. The corresponding Jordanian and hybrid deformation is also explored.
Publié le : 2003-05-13
Classification:  Mathematics - Quantum Algebra,  Mathematical Physics,  81R50,  17B37 
@article{0305188,
     author = {Parashar, Deepak},
     title = {Differential calculus on a novel cross-product quantum algebra},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0305188}
}

Parashar, Deepak. Differential calculus on a novel cross-product quantum algebra. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0305188/