The Quantum Symplectic Cayley-Klein Groups

Abstract

The contraction method applied to the construction of the nonsemisimple quantum symplectic Cayley-Klein groups $Fun(S{p}_q(n;j))$. This groups has been realised as Hopf algebra of the noncommutative functions over the algebra with nilpotent generators. The dual quantum algebras $s{p}_q(n;j)$ are constructed.

6 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