Commutative Algebra and Algebraic Geometry: The Fellowship of the Ring: Decomposing Tensor Products

Seminar | March 20 | 3:45-5 p.m. | 103 Genetics & Plant Biology Building | Note change in location

 Persi Diaconis, Stanford University

 Department of Mathematics

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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