Quantum Orthogonal Cayley-Klein Groups and Algebras

Mathematics – Quantum Algebra

Scientific paper

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3 pages, uses sprocl.sty available at http://www.wspc.demon.co.uk/Styles/procs, submitted to Proc. WigSym5, Vienna, Austria,

Scientific paper

The extension of FRT quantization theory for the nonsemisimple CK groups is
suggested. The quantum orthogonal CK groups are realized as the Hopf algebras
of the noncommutative functions over an associative algebras with nilpotent
commutative generators. The quantum CK algebras are obtained as the dual
objects to the corresponding quantum groups.

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