dorsal/arxiv
View Schemaq-Difference Realization of U_q(sl(M|N)) and Its Application to Free Boson Realization of U_q(\widehat{sl}(2|1))
| Authors | H. Awata, S. Odake, J. Shiraishi |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9701032 |
| URL | https://arxiv.org/abs/q-alg/9701032 |
| DOI | 10.1023/A:1007308403718 |
| Journal | Lett. Math. Phys. 42 (1997) 271-279 |
Abstract
We present a q-difference realization of the quantum superalgebra U_q(sl(M|N)), which includes Grassmann even and odd coordinates and their derivatives. Based on this result we obtain a free boson realization of the quantum affine superalgebra U_q(\widehat{sl}(2|1)) of an arbitrary level k.
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"abstract": "We present a q-difference realization of the quantum superalgebra\nU_q(sl(M|N)), which includes Grassmann even and odd coordinates and their\nderivatives. Based on this result we obtain a free boson realization of the\nquantum affine superalgebra U_q(\\widehat{sl}(2|1)) of an arbitrary level k.",
"arxiv_id": "q-alg/9701032",
"authors": [
"H. Awata",
"S. Odake",
"J. Shiraishi"
],
"categories": [
"q-alg",
"math.QA"
],
"doi": "10.1023/A:1007308403718",
"journal_ref": "Lett. Math. Phys. 42 (1997) 271-279",
"title": "q-Difference Realization of U_q(sl(M|N)) and Its Application to Free Boson Realization of U_q(\\widehat{sl}(2|1))",
"url": "https://arxiv.org/abs/q-alg/9701032"
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