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arXiv · 1805.06268

On representations of $U'_qso_n$

Hans Wenzl
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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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Hans Wenzl. 2018-05-16. On representations of $U'_qso_n$. https://arxiv.org/abs/1805.06268

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