4 papers
Differential calculus on a novel cross-product quantum algebra
Deepak Parashar
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…
Duality for Coloured Quantum Groups
Deepak Parashar
Duality between the coloured quantum group and the coloured quantum algebra corresponding to GL(2) is established. The coloured L^{\pm} functionals are constructed and the dual alg…
On some two parameter Quantum and Jordanian deformations, and their Coloured extensions
Deepak Parashar, Roger J. McDermott
This paper suveys some recent algebraic developments in two parameter Quantum deformations and their Nonstandard (or Jordanian) counterparts. In particular, we discuss the contract…
Duality for the G_r,s Quantum Group
Deepak Parashar, Roger J. McDermott
The two parameter quantum group G_r,s is generated by five elements, four of which form a Hopf subalgebra isomorphic to GL_q(2), while the fifth generator relates G_r,s to GL_p,q(2…