Quantum Orthogonal Cayley-Klein Groups in Cartesian Basis

Details Quantum Orthogonal Cayley-Klein Groups in Cartesian Basis Quantum Orthogonal Cayley-Klein Groups in Cartesian Basis

1996-10-08

arxiv.org/abs/q-alg/9610011v1

Mathematics

Quantum Algebra

9 pages, LaTeX, submitted to Proceedings of ' II International Workshop on Classical and Quantum Integrible Systems' (Dubna, 8

Scientific paper

10.1142/S0217751X97000050

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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