dorsal/arxiv
View SchemaSemi-Infinite Wedges and Vertex Operators
| Authors | Eugene Stern |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9504013 |
| URL | https://arxiv.org/abs/q-alg/9504013 |
Abstract
The level 1 highest weight modules of the quantum affine algebra $U_q(\widehat{\frak{sl}}_n)$ can be described as spaces of certain semi-infinite wedges. Using a $q$-antisymmetrization procedure, these semi-infinite wedges can be realized inside an infinite tensor product of evaluation modules. This realization gives rise to simple descriptions of vertex operators and (up to a scalar function) their compositions.
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"abstract": "The level 1 highest weight modules of the quantum affine algebra\n$U_q(\\widehat{\\frak{sl}}_n)$ can be described as spaces of certain\nsemi-infinite wedges. Using a $q$-antisymmetrization procedure, these\nsemi-infinite wedges can be realized inside an infinite tensor product of\nevaluation modules. This realization gives rise to simple descriptions of\nvertex operators and (up to a scalar function) their compositions.",
"arxiv_id": "q-alg/9504013",
"authors": [
"Eugene Stern"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Semi-Infinite Wedges and Vertex Operators",
"url": "https://arxiv.org/abs/q-alg/9504013"
},
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