Contractions of quantum symplectic groups

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Contractions of the quantum symplectic groups Spq(n) and of the quantum symplectic spaces Sp2n q are investigated. Contracted groups are regarded as Hopf algebras of the noncommutative functions over the algebras with nilpotent generators. The different combinations of the Cayley-Klein scheme of group contractions and the noncommutative quantum structure are studed with the help of permutations of n-th order in the framework of general theory for arbitrary n. The case of n = 2 is considered in detail.

Hopf algebra, quantum symplectic group, contraction

Короткий адрес: https://sciup.org/14992489

IDR: 14992489

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