Computing the Haar state on ${\mathbb{O}(SL_q(3))}$
Quantum Algebra
2024-04-24 v3 Probability
Abstract
This paper shows that to compute the Haar state on , 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 with reasonable computational cost. The numerical results on will be used in the future study of the -deformed Weingarten function.
Cite
@article{arxiv.2301.12683,
title = {Computing the Haar state on ${\mathbb{O}(SL_q(3))}$},
author = {Ting Lu},
journal= {arXiv preprint arXiv:2301.12683},
year = {2024}
}
Comments
Update the introduction section. Add a new section (Section 3). Add more details on the computation of the Source Matrix (Section 4.1) and the recursive relation of standard monomial in the form of (cdh)^i(ceg)^{m-i} (section 4.2). Remove appendix A and B in the previous version