Actions of the quantum toroidal algebra of type sl(2) on the space of vertex operators for U-q(gl(2)) modules

摘要

Highest weight modules for U-q(gl(2)) are endowed with a structure of modules for the quantum toriodal algebra U-kappa of type sl(2). Using this, we define U-kappa actions on the space of vertex operators for irreducible highest weight U-q(gl(2)) modules. Highest or lowest weight vectors of the thus obtained U-kappa modules are expressed in terms of an intertwiner for U-q(sl(2)) modules and an extra boson. The submodules generated by these vectors are investigated. Published by AIP Publishing.