Level-0 structure of level-1 Uq(sl2)-modules and Macdonald polynomials
Abstract
The level-1 integrable highest weight modules of Uq(sl2) admit a level-0 action of the same algebra. This action is defined using the affine Hecke algebra and the basis of the level-1 module generated by components of vertex operators. Each level-1 module is a direct sum of finite-dimensional irreducible level-0 modules, whose highest weight vector is expressed in terms of Macdonald polynomials. This decomposition leads to the fermionic character formula for the level-1 modules.
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