dorsal/arxiv
View SchemaTwisting 2-cocycles for the construction of new non-standard quantum groups
| Authors | Andrew D. Jacobs, J. F. Cornwell |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9702028 |
| URL | https://arxiv.org/abs/q-alg/9702028 |
| DOI | 10.1063/1.531949 |
Abstract
We introduce a new class of 2-cocycles defined explicitly on the generators of certain multiparameter standard quantum groups. These allow us, through the process of twisting the familiar standard quantum groups, to generate new as well as previously known examples of non-standard quantum groups. In particular we are able to construct generalisations of both the Cremmer-Gervais deformation of SL(3) and the so called esoteric quantum groups of Fronsdal and Galindo in an explicit and straightforward manner.
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"abstract": "We introduce a new class of 2-cocycles defined explicitly on the generators\nof certain multiparameter standard quantum groups. These allow us, through the\nprocess of twisting the familiar standard quantum groups, to generate new as\nwell as previously known examples of non-standard quantum groups. In particular\nwe are able to construct generalisations of both the Cremmer-Gervais\ndeformation of SL(3) and the so called esoteric quantum groups of Fronsdal and\nGalindo in an explicit and straightforward manner.",
"arxiv_id": "q-alg/9702028",
"authors": [
"Andrew D. Jacobs",
"J. F. Cornwell"
],
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],
"doi": "10.1063/1.531949",
"title": "Twisting 2-cocycles for the construction of new non-standard quantum groups",
"url": "https://arxiv.org/abs/q-alg/9702028"
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