Author

D. Benson

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Preprint Jul 2026

Simple modules for affine nilCoxeter algebras

We study the representation theory of the affine nilCoxeter algebra $A$ of type $\tilde A_{n-1}$, over a field $k$ of any characteristic. Our main theorem states that this is a Noetherian prime affine PI algebra of PI degree $n!$. As a consequence, the simple $A$-modules are all finite dimensional, and the maximum dime...

D. Benson, Kay Jin Lim · 0 citations