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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.

11 votes
3 answers
1k views

If the tensor product of two $kG$-modules is projeсtive, does either of them have to be proj...

Let $G$ be a finite group and $k$ a field, let us assume that char($k$) divides the group order. Let $kG$-mod denote the category of fintely generated $kG$-modules. This category has as a tensor produ …