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

7 votes

How ugly is the isomorphism R[GxH] = R[G] (X) R[H] for groups G, H?

You can somewhat lift the algebraic closedness assumption: You have to allow an auxillary ring (actually, division algebra) to act equivariantly on both representation and tensor over it. Such a deco …
Anatoly Preygel's user avatar