The Quantum Symplectic Cayley-Klein Groups

N. A. Gromov; I. V. Kostyakov; V. V. Kuratov

doi:10.1142/S0217751X97000244

The Quantum Symplectic Cayley-Klein Groups

q-alg 2009-10-30 v1 Quantum Algebra

Authors: N. A. Gromov , I. V. Kostyakov , V. V. Kuratov

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Abstract

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

Keywords

hopf algebras quantum groups symplectic geometry

Cite

@article{arxiv.q-alg/9610010,
  title  = {The Quantum Symplectic Cayley-Klein Groups},
  author = {N. A. Gromov and I. V. Kostyakov and V. V. Kuratov},
  journal= {arXiv preprint arXiv:q-alg/9610010},
  year   = {2009}
}

Comments

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

The Quantum Symplectic Cayley-Klein Groups

Abstract

Keywords

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