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

5 votes
1 answer
268 views

Do all finite-dimensional division algebras appear as Wedderburn factors of rational group r...

Suppose that $D$ is a division algebra that is finite-dimensional over $\Bbb Q$, does there exist a finite group $G$ such that one of the factors in the Wedderburn decomposition of $\Bbb Q[G]$ is a ma …