Geodesic
Stabilisation of the LHS Spectral Sequence for Algebraic Groups
Alison E. Parker1 ; David I. Stewart2
1School of Mathematics, University of Leeds, Leeds LS2 9JT, England
2Dept. of Pure Mathematics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, England
Journal of Lie Theory, Tome 25 (2015) no. 3, pp. 807-813

Voir la notice de l'article provenant de la source Heldermann Verlag

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

Alison E. Parker  1   ; David I. Stewart  2

1 School of Mathematics, University of Leeds, Leeds LS2 9JT, England
2 Dept. of Pure Mathematics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, England 
Alison E. Parker; David 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/JOLT_2015_25_3_a8/
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     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/JOLT_2015_25_3_a8/}
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