dorsal/arxiv
View SchemaInduced Hopf stucture and irreducible representations of an elliptic $U_{q,p}(sl(2))$ via a nonlinear map
| Authors | A. Chakrabarti |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9611014 |
| URL | https://arxiv.org/abs/q-alg/9611014 |
Abstract
Shiraishi's two parameter generalization of $U_{q}(sl(2))$ to $U_{q,p}(sl(2))$ involving an elliptic function is considered. The generators are mapped non-linearly on those of $U_{q}(sl(2))$. This gives directly the irreducible representations and an induced Hopf structure. This is one particular example of the scope of a class of non-linear maps introduced by us recently.
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"date_created": "2026-03-02T18:01:28.482000Z",
"date_modified": "2026-03-02T18:01:28.482000Z",
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"abstract": "Shiraishi\u0027s two parameter generalization of $U_{q}(sl(2))$ to\n$U_{q,p}(sl(2))$ involving an elliptic function is considered. The generators\nare mapped non-linearly on those of $U_{q}(sl(2))$. This gives directly the\nirreducible representations and an induced Hopf structure. This is one\nparticular example of the scope of a class of non-linear maps introduced by us\nrecently.",
"arxiv_id": "q-alg/9611014",
"authors": [
"A. Chakrabarti"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Induced Hopf stucture and irreducible representations of an elliptic $U_{q,p}(sl(2))$ via a nonlinear map",
"url": "https://arxiv.org/abs/q-alg/9611014"
},
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