42 citations · 585 across the 52 of their papers we have counts for
6 papers · 1 filter
The Jordanian deformation of su(2) and Clebsch-Gordan coefficients
J. Van der Jeugt
Representation theory for the Jordanian quantum algebra U=U_h(sl(2)) is developed using a nonlinear relation between its generators and those of sl(2). Closed form expressions are…
Bilinear generating functions for orthogonal polynomials
H. T. Koelink, J. Van der Jeugt
Using realisations of the positive discrete series representations of the Lie algebra su(1,1) in terms of Meixner-Pollaczek polynomials, the action of su(1,1) on Poisson kernels of…
Representations and Clebsch-Gordan coefficients for the Jordanian quantum algebra U_h(sl(2))
Joris Van der Jeugt
Representation theory for the Jordanian quantum algebra is developed. Closed form expressions are given for the action of the generators of U on the basis vectors of…
Convolutions for orthogonal polynomials from Lie and quantum algebra representations
H. T. Koelink, J. Van der Jeugt
The interpretation of the Meixner-Pollaczek, Meixner and Laguerre polynomials as overlap coefficients in the positive discrete series representations of the Lie algebra su(1,1) and…
The exponential map for representations of
J. Van der Jeugt, R. Jagannathan
For the quantum group and the corresponding quantum algebra Fronsdal and Galindo explicitly constructed the so-called universal -matrix. In a prev…
The quantum superalgebra : deformed para-Bose operators and root of unity representations
T. D. Palev, J. Van der Jeugt
We recall the relation between the Lie superalgebra and para-Bose operators. The quantum superalgebra , defined as usual in terms of its Chevalley gener…