The nonstandard q-deformed algebras U q (so n) are known to possess q-analogues of Gel'fandâ€“ Tsetlin type representations. For these q-algebras, all the Casimir elements (corresponding to basis setâ€¦ (More)

The aim of this paper is to give a complete classification of irreducible finite-dimensional representations of the nonstandard q-deformation U â€² q(son) (which does not coincide with theâ€¦ (More)

The aim of this paper is to study harmonic polynomials on the quantum Euclidean space E N q generated by elements x i , i = 1, 2, Â· Â· Â· , N , on which the quantum group SO q (N) acts. The harmonicâ€¦ (More)

The Baxter-Bazhanov-Stroganov model (also known as the Ï„ (2) model) has attracted much interest because it provides a tool for solving the integrable chiral ZN -Potts model. It can be formulated as aâ€¦ (More)

The use, for flavor symmetries, of the quantum (or q-) analogs of unitary groups SU(nf ) yields new, very accurate, baryon mass sum rules. We show, in the 3-flavor case, that such approach accountsâ€¦ (More)

We propose and develop to some extent a novel approach, which allows us to effectively describe, for relativistic heavy-ion collisions, the empirically observed deviation from unity of the interceptâ€¦ (More)

The nonstandard q-deformation U â€² q (so n) of the universal enveloping algebra U (so n) has irreducible finite dimensional representations which are a q-deformation of the well-known irreducibleâ€¦ (More)

In this contribution, we give an integral representation of the wave functions of the quantum N-particle Toda chain with boundary interaction. In the case of the Toda chain with one-boundaryâ€¦ (More)

The goal of this note is to show that the Riemann-Hilbert prob lem to find multivalued analytic functions withSL(2,C)-valued monodromy on Riemann surfaces of genus zero with n punctures can be solvedâ€¦ (More)