The Algebra of Supernatural Matrices

Document Type

Presentation Abstract

Presentation Date

3-10-2025

Abstract

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 Mn(X) ∼= 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.

Additional Details

March 10, 2025 at 3:00 p.m. Math 103

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