On representations of U'_qso_n

2018/05/16 by Wenzl, Hans
#17B37 #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1805.06268

Abstract

We study representations of the non-standard quantum deformation U'_qso_n of Uso_n via a Verma module approach. This is used to recover the classification of finite-dimensional modules for q not a root of unity, given by classical and non-classical series. We obtain new results at roots of unity, in particular for self-adjoint representations on Hilbert spaces.

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