Journal of Lie Theory

no. 3
Stabilisation of the LHS Spectral Sequence for Algebraic Groups
Journal of Lie Theory, Volume 25 (2015) no. 3, pp. 807-813
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.
DOI: 10.5802/jolt.861
Classification: 20G10, 20G05, 18G40
Keywords: Reductive algebraic groups, Lyndon-Hochschild-Serre spectral sequence, positive characteristic, cohomology of simple modules 
@article{JOLT_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},
     doi = {10.5802/jolt.861},
     zbl = {1329.20060},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.861/}
}
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A. E. Parker; D. I. Stewart. Stabilisation of the LHS Spectral Sequence for Algebraic Groups. Journal of Lie Theory, Volume 25 (2015) no. 3, pp. 807-813. doi: 10.5802/jolt.861

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