For Sp(p,q), the spin norm strictly increases along any Vogan pencil once it goes beyond the unitarily small convex hull.
Dong, Spin norm, pencils, and the u-small convex hull , Proc
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Distribution of spin norm along pencils: the $Sp(p, q)$ case
For Sp(p,q), the spin norm strictly increases along any Vogan pencil once it goes beyond the unitarily small convex hull.