Nonsemisimple Quantum Groups as Hopf Algebras of the Dual Functions
Abstract
The nonsemisimple quantum Cayley-Klein groups Fun(SUq(2; j) are realized as Hopf algebra of the noncommutative functions with the dual (or Study) variables. The dual quantum algebras suq(2; j) are constructed and their isomorphisms with the corresponding quantum orthogonal algebras soq(3; j) are established. The possible couplings of the Cayley-Klein and Hopf structures are considered.
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