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Nonsemisimple Quantum Groups as Hopf Algebras of the Dual Functions

N. A. Gromov
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Abstract

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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BibTeXRIS

N. A. Gromov. 1995-10-22. Nonsemisimple Quantum Groups as Hopf Algebras of the Dual Functions. https://arxiv.org/abs/q-alg/9510024

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