$t$--analogs of $q$--characters of quantum affine algebras of type $E_6$, $E_7$, $E_8$

$U_q(\hat{\frak{gl}}_{{}_N})$ action on $\hat{\frak{gl}}_{{}_N}$ -modules and quantum toroidal algebras

$U_q[\hat{sl(2|1)}]$ Vertex Operators, Screen Currents and Correlation Functions at Arbitrary Level

$W^{(2)}_n$ algebras

$\hbar$-adic quantum vertex algebras and their modules

$\Ughr$ invariant quantization on some homogeneous manifolds

$\Uh$ invariant Quantization of Coadjoint Orbits and Vector Bundles over them

$\U_q(sl(n))$-invariant quantization of symmetric coadjoint orbits via reflection equation algebra

$σ$-models on the quantum group manifolds $SL_{q}(2,R)$, $SL_{q}(2,R)/U_{h}(1)$, $C_{q}(2|0)$ and infinitesimal trasformations

(1+1) Schrodinger Lie bialgebras and their Poisson-Lie groups

(2+1) null-plane quantum Poincaré group from a factorized universal $R$-matrix

(2+1)-dimensional topological quantum field theory with a Verlinde basis and Turaev-Viro-Ocneanu invariants of 3-manifolds

(A class of) Hodge duality operators over the quantum SU(2)

(Bi)modules, morphismes et réduction des star-produits: le cas symplectique, feuilletages et obstructions

(Hopf) Algebra Automorphisms of the Hopf algebra ${\check U}^{\geq 0}_{r,s}({\mathfrak sl_{3}})$

(k,r)-admissible configurations and intertwining operators

(Non)Commutative Hopf algebras of trees and (quasi)symmetric functions

(p,q)-Rogers-Szego polynomial and the (p,q)-oscillator

(P,Q)-Special Functions

(Shifted) Macdonald Polynomials: q-Integral Representation and Combinatorial Formula