Integral $Ext^2$ between hook Weyl modules

DOI10.1007/S10468-020-10005-XarXiv2006.03640MaRDI QIDQ6342219

Publication date: 5 June 2020

Abstract: This paper concerns representations of the integral general linear group. The extension groups

E x t^{2}

between any pair of hook Weyl modules are determined via a detailed study of cyclic generators and relations associated to certain extensions. As a corollary, the modular extension groups

E x t^{1}

between such modules are determined.

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05)

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