We construct a class of modules for extended affine Lie algebra gl l(Cq) by using the free fields. A necessary and sufficient condition is given for those modules being irreducible.
基金supported by National Natural Science Foundation of China (Grant Nos.10726014, 10801010)
文摘We construct a class of modules for extended affine Lie algebra gl l(Cq) by using the free fields. A necessary and sufficient condition is given for those modules being irreducible.