Fermionic formulae originate in the Bethe ansatz in solvable lattice models. They are
specific expressions of some q-polynomials as sums of products of q-binomial coefficients …

We introduce a fermionic formula associated with any quantum affine algebra U q (XN (r).
Guided by the interplay between corner transfer matrix and the Bethe ansatz in solvable …

The thermodynamics of solvable isotropic chains with arbitrary spins is addressed by the
recently developed quantum transfer matrix (QTM) approach. The set of nonlinear equations …

We present a 'spinon formulation'of the SU (n) 1 Wess-Zumino-Witten models. Central to this
approach are a set of massless quasi-particles, called 'spinons', which transform in the …

Let B (l) be the perfect crystal for the l-symmetric tensor representation of the quantum affine
algebra U q′(sl ̂ n). For a partition μ=(μ1,…, μm, elements of the tensor product B …

We systematically study the exclusion statistics for quasi-particles for Conformal Field
Theory spectra by employing a method based on recursion relations for truncated spectra …

In this paper it is shown that the one-dimensional configuration sums of the solvable lattice
models of Andrews, Baxter and Forrester and the string functions associated with admissible …

We compute the one-dimensional configuration sums of the ABF model using the fermionic
technique introduced in part I of this paper. Combined with the results of Andrews, Baxter …

The spectral decomposition of the path space of the vertex model associated to the vector
representation of the quantized affine algebra is studied. We give a one-to-one …

We introduce a class of induced representations of the degenerate double affine Hecke
algebra H of g l_N (ℂ) and analyze their structure mainly by means of intertwiners of H. We …