dorsal/arxiv
View SchemaOn the Cremmer-Gervais quantizations of SL(n)
| Authors | Timothy J. Hodges |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9506018 |
| URL | https://arxiv.org/abs/q-alg/9506018 |
Abstract
Non-standard quantum groups $C_R [GL(n)]$ and $C_R [SL(n)]$ are constructed for a two parameter version of the Cremmer-Gervais $R$-matrix. An epimorphism is constructed from $C_R [GL(n)]$ onto the restricted dual $U_{\bar{R}}(\frak{gl}(n-1))$ associated to a related smaller $R$-matrix of the same form. A related result is proved concerning factorizable Lie bialgebras. For any such Lie bialgebra, the dual Lie bialgebra has a canonical homomorphic image which is again factorizable.
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"abstract": "Non-standard quantum groups $C_R [GL(n)]$ and $C_R [SL(n)]$ are constructed\nfor a two parameter version of the Cremmer-Gervais $R$-matrix. An epimorphism\nis constructed from $C_R [GL(n)]$ onto the restricted dual\n$U_{\\bar{R}}(\\frak{gl}(n-1))$ associated to a related smaller $R$-matrix of the\nsame form.\n A related result is proved concerning factorizable Lie bialgebras. For any\nsuch Lie bialgebra, the dual Lie bialgebra has a canonical homomorphic image\nwhich is again factorizable.",
"arxiv_id": "q-alg/9506018",
"authors": [
"Timothy J. Hodges"
],
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"title": "On the Cremmer-Gervais quantizations of SL(n)",
"url": "https://arxiv.org/abs/q-alg/9506018"
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