Spinon decomposition and Yangian structure of (sln) modules

Abstract

We review several fermionic-type character formulae for the characters of the integrable highest weight modules of sl(n) at level l=1, and explain how they arise from a spinon basis for these modules. We also review how the Yangian Y(sl(n)) acts on the integrable (sl(n))1 modules and we decompose the characters with respect to this Y(sl(n)) action.

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