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Gelfand-Kirillov dimension of some simple unitarizable modules
Published 25 Sep 2017 in math.OA and math.QA | (1709.08586v1)
Abstract: Let $\mathcal{O}_q(G)$ be the quantized algebra of regular functions on a semisimple simply connected compact Lie group $G$. Simple unitarizable left $\mathcal{O}_q(G)$-module are classified. In this article, we compute their Gelfand-Kirillov dimension where $G$ is of the type $A$, $C$ and $D$.
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