In this paper, we generalize a result by Berman and Billig on weight modules over Lie
algebras with polynomial multiplication. More precisely, we show that a highest weight …

Extended affine Lie algebras are higher nullity generalizations of finite dimensional simple
Lie algebras and affine Kac Moody Lie algebras. In this paper we completely describe the …

Representations of Extended Affine Lie Algebras Coordinatized by Certain Quantum Tori Page
1 Representations of Extended Af¢ne Lie Algebras Coordinatized by Certain Quantum Tori …

Fermionic and Bosonic Representations of the Extended Affine Lie AlgebraglN (Cq) Page 1
Canad. Math. Bull. Vol. 45 (4), 2002 pp. 623–633 Fermionic and Bosonic Representations of …

We use the underlying Fock space for the homogeneous vertex operator representation of
the affine Lie algebra to construct a family of vertex operators. As an application, an …

We present a general vertex operator construction based on the Fock space for affine Lie
algebras of type A. This construction allows us to give a unified treatment for both the …

We use the idea of free fields to obtain highest weight representations for the extended
affine Lie algebra gl2 (Cq)˜ coordinatized by the quantum torus Cq and go on to construct a …

Highest Weight Irreducible Representations of Rank 2 Quantum Tori Page 1 Wilfrid Laurier
University Scholars Commons @ Laurier Mathematics Faculty Publications Mathematics …

In this paper, we explore natural connections among the representations of the extended
affine Lie algebra $\widehat {sl_N}(\mathbb {C} _q) $ with $\mathbb {C} _q=\mathbb {C} _q …

A class of integrable modules for the core of EALA coordinatized by quantum tori Page 1
Journal of Algebra 275 (2004) 59–74 www.elsevier.com/locate/jalgebra A class of integrable …