dorsal/arxiv
View SchemaScattering matrices and affine Hecke algebras
| Authors | Vincent Pasquier |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9508002 |
| URL | https://arxiv.org/abs/q-alg/9508002 |
| DOI | 10.1007/BFb0102556 |
Abstract
We construct the scattering matrices for an arbitrary Weyl group in terms of elementary operators which obey the generalised Yang-Baxter equation. We use this construction to obtain the affine Hecke algebras. The center of the affine Hecke algebras coincides with commuting Hamiltonians. These Hamiltonians have q-deformed affine Lie algebras as symmetry algebra.
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"abstract": "We construct the scattering matrices for an arbitrary Weyl group in terms of\nelementary operators which obey the generalised Yang-Baxter equation. We use\nthis construction to obtain the affine Hecke algebras. The center of the affine\nHecke algebras coincides with commuting Hamiltonians. These Hamiltonians have\nq-deformed affine Lie algebras as symmetry algebra.",
"arxiv_id": "q-alg/9508002",
"authors": [
"Vincent Pasquier"
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"doi": "10.1007/BFb0102556",
"title": "Scattering matrices and affine Hecke algebras",
"url": "https://arxiv.org/abs/q-alg/9508002"
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