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Spinon decomposition and Yangian structure of (sl_n)^ modules

Peter Bouwknegt·Kareljan Schoutens
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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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Peter Bouwknegt, Kareljan Schoutens. 1997-03-12. Spinon decomposition and Yangian structure of (sl_n)^ modules. https://arxiv.org/abs/q-alg/9703021

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