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arXiv · 2301.12683

Computing the Haar state on ${\mathbb{O}(SL_q(3))}$

Ting Lu
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Abstract

This paper shows that to compute the Haar state on $\mathbb{O}(SL_q(n))$, it suffices to compute the Haar states of a special type of monomials which we define as standard monomials. Then, we provide an algorithm to explicitly compute the Haar states of standard monomials on $\mathbb{O}(SL_q(3))$ with reasonable computational cost. The numerical results on $\mathbb{O}(SL_q(3))$ will be used in the future study of the $q$-deformed Weingarten function.

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Ting Lu. 2023-01-30. Computing the Haar state on ${\mathbb{O}(SL_q(3))}$. https://arxiv.org/abs/2301.12683

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