dorsal/arxiv
View SchemaNonstandard Quantum Groups and Superisation
| Authors | S. Majid, M. J. Rodriguez-Plaza |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9506015 |
| URL | https://arxiv.org/abs/q-alg/9506015 |
Abstract
We obtain the universal R-matrix of the non-standard quantum group associated to the Alexander-Conway knot polynomial. We show further that this non-standard quantum group is related to the super-quantum group $U_qgl(1|1)$ by a general process of superization, which we describe. We also study a twisted variant of this non-standard quantum group and obtain, as a result, a twisted version of $U_qgl(1|1)$ as a $q$-supersymmetry of the exterior differential calculus of any quantum plane of Hecke type, acting by mixing the bosonic $x_i$ co-ordinates and the forms $d x_i$.
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"abstract": "We obtain the universal R-matrix of the non-standard quantum group associated\nto the Alexander-Conway knot polynomial. We show further that this non-standard\nquantum group is related to the super-quantum group $U_qgl(1|1)$ by a general\nprocess of superization, which we describe. We also study a twisted variant of\nthis non-standard quantum group and obtain, as a result, a twisted version of\n$U_qgl(1|1)$ as a $q$-supersymmetry of the exterior differential calculus of\nany quantum plane of Hecke type, acting by mixing the bosonic $x_i$\nco-ordinates and the forms $d x_i$.",
"arxiv_id": "q-alg/9506015",
"authors": [
"S. Majid",
"M. J. Rodriguez-Plaza"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Nonstandard Quantum Groups and Superisation",
"url": "https://arxiv.org/abs/q-alg/9506015"
},
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"execution_id": "71891c1e-cf26-4e7f-9053-f28aec7c1c84",
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