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Blocks with basic algebras of dimension at most 12

Main article: Blocks with basic algebras of low dimension

In [Li18b] Markus Linckelmann calculated the [math]k[/math]-algebras of dimension at most twelve which occur as basic algebras of blocks of finite groups, with the exception of one case of dimension 9 where no block with that basic algebra is identified. See Blocks with basic algebras of low dimension for a description of these results.