72 research outputs found

    Contractions of Integrable Equations

    Full text link
    The contraction is applied to obtaining of integrable systems associated with nonsemisimple algebras. The effect of contraction is splitting off some components from initial system without loss of integrability.Comment: 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.Phy

    The Quantum Symplectic Cayley-Klein Groups

    Full text link
    The contraction method applied to the construction of the nonsemisimple quantum symplectic Cayley-Klein groups Fun(Spq(n;j)) Fun(Sp_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 spq(n;j) sp_q(n;j) are constructed.Comment: 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.Phy
    • …
    corecore