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Algebra Seminar

Monday, February 10, 2025 - 3:30pm

Shira Gilat

University of Pennsylvania

Location

University of Pennsylvania

DRL 4N30

https://upenn.zoom.us/j/93669229623?pwd=Sz5X0vjPOboEG5bueCV3TcVZtaW0iN.1

The algebra of supernatural matrices is a key example in the theory of locally finite central simple algebras.  Supernatural matrices are a minimal solution to the equation of unital algebras $M_n(X) \cong X$, which we compare to several similar conditions involving cancellation of matrices. This algebra has appeared under various names before, and it generalizes both McCrimmon's deep matrices algebra and m-petal Leavitt path algebra.