Course Description
Noncommutative algebra studies algebraic phenomena involving multiplication for which commutativity law fails, such as product of matrices in linear algebra; such phenomena arise in various disciplines ranging from quantum physics to number theory.
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The image illustrates a geometric construction producing the so-called noncommutative torus. It gives rise to a noncommutative algebra that serves as a basic example for several topics studied in the course. (Image courtesy of Ernesto Lupercio from “Non-Commutative Geometry Indomitable.”)
