UC Berkeley

Commutative Algebra and Algebraic Geometry Seminar

March 20, 2018

939 Evans Hall

3:45PM: Decomposing Tensor Products

Persi Diaconis

Building new representations out of old ones by tensoring is a basic construction; indeed, an old theorem of Burnside and Brauer says that all representations of a finite group can be built this way, starting from one faithful representation. Of course, decomposing tensor products can be a nightmare (the Kronecker problem). Its even worse over general rings. Surprisingly, there is a useful connection to probability theory.

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