dorsal/arxiv
View SchemaSpinon decomposition and Yangian structure of (sl_n)^ modules
| Authors | Peter Bouwknegt, Kareljan Schoutens |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9703021 |
| URL | https://arxiv.org/abs/q-alg/9703021 |
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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"date_created": "2026-03-02T18:01:28.004000Z",
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"abstract": "We review several fermionic-type character formulae for the characters of the\nintegrable highest weight modules of sl(n)^ at level l=1, and explain how they\narise from a spinon basis for these modules. We also review how the Yangian\nY(sl(n)) acts on the integrable (sl(n)^)_1 modules and we decompose the\ncharacters with respect to this Y(sl(n)) action.",
"arxiv_id": "q-alg/9703021",
"authors": [
"Peter Bouwknegt",
"Kareljan Schoutens"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Spinon decomposition and Yangian structure of (sl_n)^ modules",
"url": "https://arxiv.org/abs/q-alg/9703021"
},
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