Timeline for Representation theory of $\operatorname{SO}(n)$ for large $n$
Current License: CC BY-SA 4.0
7 events
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| Nov 11, 2020 at 7:25 | vote | accept | Peter Wildemann | ||
| Nov 9, 2020 at 20:12 | comment | added | Abdelmalek Abdesselam | You might want to clarify what you mean by Clebsch-Gordan coefficients. In math, this usually refers to the multiplicity of an irrep $V_{\rho}$ inside a tensor product of irreps $V_{\mu}\otimes V_{\nu}$. In physics this would refer the explicit matrix elements, in some basis, of an intertwiner in ${\rm Hom}(V_{\rho},V_{\mu}\otimes V_{\nu})$. And you also have Wigner symbols which are basis independent. | |
| Nov 9, 2020 at 19:41 | comment | added | Yemon Choi | There was some work by Collins and coauthors about 10 years ago that sought to say things about large $n$ asymptotics for representations of classical matrix groups, from the point of view of free probability techniques. The paper arxiv.org/abs/0911.5546 is looking at U(n) rather than SO(n) and it might be somewhat tangential to the questions you have in mind, but perhaps it might offer a route into related literature that would be helpful? | |
| Nov 9, 2020 at 5:18 | answer | added | Christopher Ryba | timeline score: 18 | |
| Nov 8, 2020 at 12:57 | history | edited | Peter Wildemann | CC BY-SA 4.0 |
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| Nov 8, 2020 at 12:47 | history | edited | YCor | CC BY-SA 4.0 |
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| Nov 8, 2020 at 12:19 | history | asked | Peter Wildemann | CC BY-SA 4.0 |