dorsal/arxiv
View SchemaDeformations of Multiparameter Quantum gl(N)
| Authors | C. Fronsdal, A. Galindo |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9505016 |
| URL | https://arxiv.org/abs/q-alg/9505016 |
| DOI | 10.1007/BF00739372 |
| Journal | Lett. Math. Phys. 34 (1995) 25 |
Abstract
Multiparameter quantum gl(N) is not a rigid structure. This paper defines an essential deformation as one that cannot be interpreted in terms of a similarity transformation, nor as a perturbation of the parameters. All the equivalence classes of first order essential deformations are found, as well as a class of exact deformations. This work provides quantization of all the classical Lie bialgebra structures (constant r-matrices) found by Belavin and Drinfeld for sl(n). A special case, that requires the Hecke parameter to be a cubic root of unity, stands out.
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"abstract": "Multiparameter quantum gl(N) is not a rigid structure. This paper defines an\nessential deformation as one that cannot be interpreted in terms of a\nsimilarity transformation, nor as a perturbation of the parameters. All the\nequivalence classes of first order essential deformations are found, as well as\na class of exact deformations. This work provides quantization of all the\nclassical Lie bialgebra structures (constant r-matrices) found by Belavin and\nDrinfeld for sl(n). A special case, that requires the Hecke parameter to be a\ncubic root of unity, stands out.",
"arxiv_id": "q-alg/9505016",
"authors": [
"C. Fronsdal",
"A. Galindo"
],
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"q-alg",
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"doi": "10.1007/BF00739372",
"journal_ref": "Lett. Math. Phys. 34 (1995) 25",
"title": "Deformations of Multiparameter Quantum gl(N)",
"url": "https://arxiv.org/abs/q-alg/9505016"
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