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arXiv · 1709.09540

Gelfand-Kirillov dimension of the algebra of regular functions on quantum groups

Partha Sarathi Chakraborty·Bipul Saurabh
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Abstract

Let $G_q$ be the $q$-deformation of a simply connected simple compact Lie group $G$ of type $A$, $C$ or $D$ and $\mathcal{O}_q(G)$ be the algebra of regular functions on $G_q$. In this article, we prove that the Gelfand-Kirillov dimension of $\mathcal{O}_q(G)$ is equal to the dimension of real manifold $G$.

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Partha Sarathi Chakraborty, Bipul Saurabh. 2017-09-26. Gelfand-Kirillov dimension of the algebra of regular functions on quantum groups. https://arxiv.org/abs/1709.09540

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