dorsal/arxiv
View SchemaQuantum Double for QuasiHopf Algebras
| Authors | S. Majid |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9701002 |
| URL | https://arxiv.org/abs/q-alg/9701002 |
Abstract
We introduce a quantum double quasitriangular quasi-Hopf algebra $D(H)$ associated to any quasi-Hopf algebra $H$. The algebra structure is a cocycle double cross product. We use categorical reconstruction methods. As an example, we recover the quasi-Hopf algebra of Dijkgraaf, Pasquier and Roche as the quantum double $D^\phi(G)$ associated to a finite group $G$ and group 3-cocycle $\phi$.
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"abstract": "We introduce a quantum double quasitriangular quasi-Hopf algebra $D(H)$\nassociated to any quasi-Hopf algebra $H$. The algebra structure is a cocycle\ndouble cross product. We use categorical reconstruction methods. As an example,\nwe recover the quasi-Hopf algebra of Dijkgraaf, Pasquier and Roche as the\nquantum double $D^\\phi(G)$ associated to a finite group $G$ and group 3-cocycle\n$\\phi$.",
"arxiv_id": "q-alg/9701002",
"authors": [
"S. Majid"
],
"categories": [
"q-alg",
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"title": "Quantum Double for QuasiHopf Algebras",
"url": "https://arxiv.org/abs/q-alg/9701002"
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