Locally inner endomorphisms of adjoint Chevalley groups of types A1, A2, B2, G2 over commutative rings are inner under invertibility conditions, implying Sha-rigidity.
Abe,Automorphisms of Chevalley groups over commutative rings, Algebra i Analiz5(1993), no
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Sha-rigidity of adjoint Chevalley groups of types $A_1$, $A_2$, $B_2$, $G_2$ over commutative rings
Locally inner endomorphisms of adjoint Chevalley groups of types A1, A2, B2, G2 over commutative rings are inner under invertibility conditions, implying Sha-rigidity.