Frobenius nilHecke algebras

Alistair Savage; John Stuart

Frobenius nilHecke algebras

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arxiv 2008.07977 v2 pith:XT23WRC6 submitted 2020-08-18 math.RT math.RA

Alistair Savage , John Stuart This is my paper · ORCID

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keywords algebrasfrobeniusnilheckenilcoxeterwhenalgebraassociateclassical

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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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Higher-level degenerate spin affine Hecke superalgebras
math.RT 2026-07 accept novelty 5.5 of 10

Higher-level degenerate spin affine Hecke superalgebras are isomorphic (after Clifford tensor) to higher-level degenerate affine Hecke–Clifford superalgebras, hence Morita superequivalent.

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