dorsal/arxiv
View Schemaq-differential operator representation of the quantum superalgebra Uq(sl(M+1|N+1))
| Authors | Kazuhiro Kimura |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9612036 |
| URL | https://arxiv.org/abs/q-alg/9612036 |
Abstract
A representation of the quantum superalgebra Uq(sl(M+1|N+1)) is constructed based on the q-differential operators acting on the coherent states parameterized by coordinates. These coordinates correspond to the local ones of the flag manifold. This realization provides us with a guide to construct the free field realization for the quantum affine superalgebra Uq^(sl(M+1|N+1)) at arbitrary level.
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"abstract": "A representation of the quantum superalgebra Uq(sl(M+1|N+1)) is constructed\nbased on the q-differential operators acting on the coherent states\nparameterized by coordinates. These coordinates correspond to the local ones of\nthe flag manifold. This realization provides us with a guide to construct the\nfree field realization for the quantum affine superalgebra Uq^(sl(M+1|N+1)) at\narbitrary level.",
"arxiv_id": "q-alg/9612036",
"authors": [
"Kazuhiro Kimura"
],
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"q-alg",
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"title": "q-differential operator representation of the quantum superalgebra Uq(sl(M+1|N+1))",
"url": "https://arxiv.org/abs/q-alg/9612036"
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