Affine wreath product algebras
Abstract
We study the structure and representation theory of affine wreath product algebras and their cyclotomic quotients. These algebras, which appear naturally in Heisenberg categorification, simultaneously unify and generalize many important algebras appearing in the literature. In particular, special cases include degenerate affine Hecke algebras, affine Sergeev algebras (degenerate affine Hecke-Clifford algebras), and wreath Hecke algebras. In some cases, specializing the results of the current paper recovers known results, but with unified and simplified proofs. In other cases, we obtain new results, including proofs of two open conjectures of Kleshchev and Muth.
Keywords
Cite
@article{arxiv.1709.02998,
title = {Affine wreath product algebras},
author = {Alistair Savage},
journal= {arXiv preprint arXiv:1709.02998},
year = {2020}
}
Comments
41 pages. v2: Small corrections, published version. v3: Correction of (5.13) and minor typos