Frobenius nilHecke algebras

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.

14 pages; v2: minor corrections, published version

References in corpus (3)

• Foundations of Frobenius Heisenberg categories
• Quantum affine wreath algebras
• Representations of $0$-Yokonuma-Hecke algebras

Cited by in corpus (1)

• Affine Frobenius Brauer Categories