I want to know what is $\pi_3(SU(4)/SU(2))$ for the diagonal embedding of $SU(2)$ in $SU(4)$. People suggested this as a counterexample for another question I asked on Math Overflow. Could someone provide the answer or references that teach how to compute it? Thanks!
2026-04-18 02:46:56.1776480416
What is $\pi_3(SU(4)/SU(2))$?
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