Frobenius nilHecke algebras
Representation Theory
2021-08-04 v2 Rings and Algebras
Abstract
To any Frobenius superalgebra we associate towers of Frobenius nilCoxeter algebras and Frobenius nilHecke algebras. These act naturally, via Frobenius divided difference operators, on Frobenius polynomial algebras. When is the ground ring, our algebras recover the classical nilCoxeter and nilHecke algebras. When is the two-dimensional Clifford algebra, they are Morita equivalent to the odd nilCoxeter and odd nilHecke algebras.
Cite
@article{arxiv.2008.07977,
title = {Frobenius nilHecke algebras},
author = {Alistair Savage and John Stuart},
journal= {arXiv preprint arXiv:2008.07977},
year = {2021}
}
Comments
14 pages; v2: minor corrections, published version