dorsal/arxiv
View SchemaQuantum Orthogonal Cayley-Klein Groups in Cartesian Basis
| Authors | N. A. Gromov, I. V. Kostyakov, V. V. Kuratov |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9610011 |
| URL | https://arxiv.org/abs/q-alg/9610011 |
| DOI | 10.1142/S0217751X97000050 |
Abstract
The similarity transformations of quantum orthogonal groups are developed and FRT theory is reformulated to the Cartesian basis. The quantum orthogonal Cayley-Klein groups are introduced as the algebra functions over an associative algebra with the nilpotent generators. The quantum orthogonal Cayley-Klein algebras are obtained as the dual objects to the corresponding quantum groups.
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"abstract": "The similarity transformations of quantum orthogonal groups are developed and\nFRT theory is reformulated to the Cartesian basis. The quantum orthogonal\nCayley-Klein groups are introduced as the algebra functions over an associative\nalgebra with the nilpotent generators. The quantum orthogonal Cayley-Klein\nalgebras are obtained as the dual objects to the corresponding quantum groups.",
"arxiv_id": "q-alg/9610011",
"authors": [
"N. A. Gromov",
"I. V. Kostyakov",
"V. V. Kuratov"
],
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"doi": "10.1142/S0217751X97000050",
"title": "Quantum Orthogonal Cayley-Klein Groups in Cartesian Basis",
"url": "https://arxiv.org/abs/q-alg/9610011"
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