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arXiv · 1709.08586

Gelfand-Kirillov dimension of some simple unitarizable modules

Partha Sarathi Chakraborty·Bipul Saurabh
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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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Partha Sarathi Chakraborty, Bipul Saurabh. 2017-09-25. Gelfand-Kirillov dimension of some simple unitarizable modules. https://arxiv.org/abs/1709.08586

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