Alison E. Parker and David I. Stewart,

Stabilisation of the LHS spectral sequence for algebraic groups

Abstract. In this note, we consider the Lyndon–Hochschild–Serre 
spectral sequence corresponding to the first Frobenius kernel 
of an algebraic group G and computing the extensions between 
simple G-modules. We state and discuss a conjecture that E2 = E∞ 
and provide general conditions for low-dimensional terms on the 
E2-page to be the same as the corresponding terms on the E∞-page, 
i.e. its abutment.