Computing the Haar state on ${\mathbb{O}(SL_q(3))}$
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866929324201869312 |
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| author | Lu, Ting |
| author_facet | Lu, Ting |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_12683 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Computing the Haar state on ${\mathbb{O}(SL_q(3))}$ Lu, Ting Quantum Algebra Probability 81R50(Primary) 60B15 (Secondary) 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. |
| title | Computing the Haar state on ${\mathbb{O}(SL_q(3))}$ |
| topic | Quantum Algebra Probability 81R50(Primary) 60B15 (Secondary) |
| url | https://arxiv.org/abs/2301.12683 |