Quantum Orthogonal Cayley-Klein Groups in Cartesian Basis
q-alg
2009-10-30 v1 量子代数
摘要
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.
引用
@article{arxiv.q-alg/9610011,
title = {Quantum Orthogonal Cayley-Klein Groups in Cartesian Basis},
author = {N. A. Gromov and I. V. Kostyakov and V. V. Kuratov},
journal= {arXiv preprint arXiv:q-alg/9610011},
year = {2009}
}
备注
9 pages, LaTeX, submitted to Proceedings of ' II International Workshop on Classical and Quantum Integrible Systems' (Dubna, 8-12 July,1996), to be published in Int.J.Mod.Phys