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Extensions of strict polynomial functors. (English) Zbl 1089.20029
Computing Ext-groups between discrete or rational \(\text{GL}_n\)-modules over a field of positive characteristic is known to be a difficult problem. However, it is possible to make effective computations of these Ext-groups if one works in the category of strict polynomial functors. In the paper under review the author computes Ext-groups between specific strict polynomial functors called Frobenius twists.

MSC:
20G10 Cohomology theory for linear algebraic groups
20G05 Representation theory for linear algebraic groups
20C20 Modular representations and characters
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