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On some extensions of p-restricted completely splittable GL(n)-modules

Vladimir Shchigolev
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Abstract

In this paper, we calculate the space $Ext^1_{GL(n)}(L_n(λ),L_n(μ))$, where GL(n) is the general linear group of degree $n$ over an algebraically closed field of positive characteristic, $L_n(λ)$ and $L_n(μ)$ are rational irreducible GL(n)-modules with highest weights $λ$ and $μ$ respectively, the restriction of $L_n(λ)$ to any Levi subgroup of GL(n) is semisimple, $λ$ is a $p$-restricted weight and $μ$ does not strictly dominate $λ$.

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BibTeXRIS

Vladimir Shchigolev. 2007-01-19. On some extensions of p-restricted completely splittable GL(n)-modules. https://arxiv.org/abs/math/0701545

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