1995/11/20 by J. Donin, Donin, J., Dimitri Gurevich +3 · 2 citations
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA)
paper · pdf · doi:10.48550/arxiv.q-alg/9511014
openalex publication_date 1995/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.