Nonsemisimple Quantum Groups as Hopf Algebras of the Dual Functions

Details Nonsemisimple Quantum Groups as Hopf Algebras of the Dual Functions Nonsemisimple Quantum Groups as Hopf Algebras of the Dual Functions

1995-10-22

arxiv.org/abs/q-alg/9510024v1

Mathematics

Quantum Algebra

12 pages, LaTeX

Scientific paper

The nonsemisimple quantum Cayley-Klein groups $ Fun(SU_{q}(2;\bf j}) $ are realized as Hopf algebra of the noncommutative functions with the dual (or Study) variables. The {\it dual} quantum algebras $ su_q(2;{\bf j}) $ are constructed and their isomorphisms with the corresponding quantum orthogonal algebras $ so_q(3;{\bf j}) $ are established. The possible couplings of the Cayley-Klein and Hopf structures are considered.

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