Geodesic
Stabilisation of the LHS Spectral Sequence for Algebraic Groups
Journal of Lie theory, Tome 25 (2015) no. 3, pp. 807-813
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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.
Classification : 20G10, 20G05, 18G40
Mots-clés : Reductive algebraic groups, Lyndon-Hochschild-Serre spectral sequence, positive characteristic, cohomology of simple modules 
@article{JLT_2015_25_3_JLT_2015_25_3_a8,
     author = {A. E. Parker and D. I. Stewart},
     title = {Stabilisation of the {LHS} {Spectral} {Sequence} for {Algebraic} {Groups}},
     journal = {Journal of Lie theory},
     pages = {807--813},
     year = {2015},
     volume = {25},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JLT_2015_25_3_JLT_2015_25_3_a8/}
}
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A. E. Parker; D. I. Stewart. Stabilisation of the LHS Spectral Sequence for Algebraic Groups. Journal of Lie theory, Tome 25 (2015) no. 3, pp. 807-813. http://geodesic.mathdoc.fr/item/JLT_2015_25_3_JLT_2015_25_3_a8/