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arXiv · 2008.07977

Frobenius nilHecke algebras

Alistair Savage·John Stuart
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Abstract

To any Frobenius superalgebra $A$ we associate towers of Frobenius nilCoxeter algebras and Frobenius nilHecke algebras. These act naturally, via Frobenius divided difference operators, on Frobenius polynomial algebras. When $A$ is the ground ring, our algebras recover the classical nilCoxeter and nilHecke algebras. When $A$ is the two-dimensional Clifford algebra, they are Morita equivalent to the odd nilCoxeter and odd nilHecke algebras.

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BibTeXRIS

Alistair Savage, John Stuart. 2020-08-18. Frobenius nilHecke algebras. https://doi.org/10.2140/pjm.2021.311.455

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