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doctoral thesis
Maximal subgroups acting with two composition factors on irreducible representations of exceptional algebraic groups
2019
Let $Y$ be a simply connected simple algebraic group over an algebraically closed field $k$ of characteristic $p$ and let $X$ be a maximal closed connected simple subgroup of $Y$.
Excluding some small primes in specific cases, we classify the $p$-restricted irreducible representations of $Y$ on which $X$ acts with exactly two composition factors.
This work follows on naturally from the classification of irreducible subgroups of exceptional algebraic groups given by Testerman.
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EPFL_TH9449.pdf
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openaccess
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1.7 MB
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Adobe PDF
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