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

dc.creatorShchigolev, Vladimir
dc.date2007-01-19
dc.date.accessioned2026-07-07T07:41:57Z
dc.date.available2026-07-07T07:41:57Z
dc.descriptionIn 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 $λ$.
dc.descriptionProceedings of the international algebraic conference in Moscow, 2004
dc.identifierhttps://arxiv.org/abs/math/0701545
dc.identifierhttp://arxiv.org/abs/math/0701545
dc.identifierFund. i prikl. matem., 11(2005), n. 2, 219--226
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122307
dc.subjectRepresentation Theory
dc.subject20G05
dc.titleOn some extensions of p-restricted completely splittable GL(n)-modules
dc.typetext

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