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

نویسنده

  • Vladimir Shchigolev
چکیده

In this paper, we calculate the space ExtGL(n)(Ln(λ), Ln(μ)), where GL(n) is the general linear group of degree n over an algebraically closed field of positive characteristic, Ln(λ) and Ln(μ) are rational irreducible GL(n)-modules with highest weights λ and μ respectively, the restriction of Ln(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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تاریخ انتشار 2007