Timeline for Average of product of matrix elements in the special orthogonal group
Current License: CC BY-SA 4.0
3 events
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| Jun 26, 2020 at 20:04 | comment | added | Marcel | Thank you for your input. The idea of working with explicit Euler angles seems scary. Let me point out that it is easy to derive the Weingarten function for $O(N)$ using the theory of zonal polynomials, as I show here: arxiv.org/abs/1406.2182. Zonal polynomials appear because of the relation $\int_{O(N)}s_{2\lambda}(Au)du=Z_\lambda(A^TA)/Z_\lambda(1)$, where $s$ is a Schur function. So a Weingarten calculus for $SO(N)$ might follow from the integral $\int_{SO(N)}s_{\lambda}(Au)du$. Is this integral known? | |
| Jun 26, 2020 at 19:44 | history | edited | Abdelmalek Abdesselam | CC BY-SA 4.0 |
added 70 characters in body
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| Jun 26, 2020 at 19:22 | history | answered | Abdelmalek Abdesselam | CC BY-SA 4.0 |