5 citations · 9 across the 15 of their papers we have counts for
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Semi-entwining structures and their applications
Florin F. Nichita, Deepak Parashar, Bartosz Zielinski
Semi-entwining structures are proposed as concepts simpler than entwining structures, yet they are shown to have interesting applications in constructing intertwining operators and…
R-matrices for the adjoint representations of Uq(so(n))
Deepak Parashar, Bruce W. Westbury
We calculate a two-parameter R-matrix which specialises to the trigonometric R-matrix of the minimal affinisation of the adjoint representation of each of the classical simple Lie…
New constructions of Yang-Baxter systems
Florin F. Nichita, Deepak Parashar
The quantum Yang-Baxter equation admits generalisations to systems of Yang-Baxter type equations called Yang-Baxter systems. Starting from algebra structures, we propose new constr…
Spectral-parameter dependent Yang-Baxter operators and Yang-Baxter systems from algebra structures
Florin F. Nichita, Deepak Parashar
For any algebra two families of coloured Yang-Baxter operators are constructed, thus producing solutions to the two-parameter quantum Yang-Baxter equation. An open problem about a…
Construction of the generalised q-derivative operators
Dayanand Parashar, Deepak Parashar
This investigation pertains to the construction of a class of generalised deformed derivative operators which furnish the familiar finite difference and the q-derivatives as specia…
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…