dorsal/arxiv
View SchemaVertex operators for twisted quantum affine algebras
| Authors | Naihuan Jing, Kailash C. Misra |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9701034 |
| URL | https://arxiv.org/abs/q-alg/9701034 |
| Journal | Trans. Amer. Math. Soc. 351 (1999), 1663-1690. |
Abstract
We construct explicitly the $q$-vertex operators (intertwining operators) for the level one modules $V(\Lambda_i)$ of the classical quantum affine algebras of twisted types using interacting bosons, where $i=0, 1$ for $A_{2n-1}^{(2)}$, $i=0$ for $D_4^{(3)}$, $i=0, n$ for $D_{n+1}^{(2)}$, and $i=n$ for $A_{2n}^{(2)}$. A perfect crystal graph for $D_4^{(3)}$ is constructed as a by-product.
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"abstract": "We construct explicitly the $q$-vertex operators (intertwining operators) for\nthe level one modules $V(\\Lambda_i)$ of the classical quantum affine algebras\nof twisted types using interacting bosons, where $i=0, 1$ for $A_{2n-1}^{(2)}$,\n$i=0$ for $D_4^{(3)}$, $i=0, n$ for $D_{n+1}^{(2)}$, and $i=n$ for\n$A_{2n}^{(2)}$. A perfect crystal graph for $D_4^{(3)}$ is constructed as a\nby-product.",
"arxiv_id": "q-alg/9701034",
"authors": [
"Naihuan Jing",
"Kailash C. Misra"
],
"categories": [
"q-alg",
"math.QA"
],
"journal_ref": "Trans. Amer. Math. Soc. 351 (1999), 1663-1690.",
"title": "Vertex operators for twisted quantum affine algebras",
"url": "https://arxiv.org/abs/q-alg/9701034"
},
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