3 papers
math.RT2009
A Class of Irreducible Modules for the Extended Affine Lie Algebra
Ziting Zeng
We construct a class of modules for extended affine Lie algebra $\widetilde{\frak{gl}_l({\bc_q})}$ by using the free fields. A necessary and sufficient condition is given for those…
math.QA2006
Unitary representations of the extended affine Lie algebra $\widetilde{\frak{gl}_{3}(\bc_q)}$
Ziting Zeng
We present modules for the extended affine Lie algebra $\widetilde{\frak{gl}_{3}(\bc_q)}$ by using the idea of free fields. A necessary and sufficient condition for the modules bei…
math.RT2005
Hermitian representations of the extended affine Lie algebra $\widetilde{\frak{gl}_{2}(\bc_q)}$
Yun Gao, Ziting Zeng
We use the idea of free fields to obtain highest weight representations for the extended affine Lie algebra $\widetilde{\frak{gl}_{2}(\bc_q)}$ coordinatized by the quantum torus $\…