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math.QA2004★ 4 cited
Cayley--Klein Contractions of Quantum Orthogonal Groups in Cartesian Basis
N. A. Gromov, V. V. Kuratov
Spaces of constant curvature and their motion groups are described most naturally in Cartesian basis. All these motion groups also known as CK groups are obtained from orthogonal g…
math.QA2002★ 1 cited
On contractions of quantum orthogonal groups
N. A. Gromov, I. V. Kostyakov, V. V. Kuratov
The standard Faddeev quantization of the simple groups is modified in such a way that the quantum analogs of the nonsemisimple groups are obtained by contractions. The contracted q…
math.QA2001★ 1 cited
Possible contractions of quantum orthogonal groups
N. A. Gromov, I. V. Kostyakov, V. V. Kuratov
Possible contractions of quantum orthogonal groups which correspond to different choices of primitive elements of Hopf algebra are considered and all allowed contractions in Cayley…