Mathematics – Quantum Algebra
Scientific paper
1995-11-20
Mathematics
Quantum Algebra
18 pp., Latex
Scientific paper
When a quantum hyperboloid is realized, as a three - parameter algebra $\ahqc$, in the usual manner, the following problem arises: what is a ``representation theory'' of this algebra? We construct the series of all spin representations of $\ahqc$, and we discuss a braided version of the orbit method, i.e. a correspondence between orbits in $\gggg^*$ and $\gggg$-modules. A braided trace and a braided involution are discussed as well.
Donin Joseph
Gurevich Dimitri
Rubtsov Vladimir
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