English

$J$-equivalence for associative algebras

Representation Theory 2023-09-26 v2

Abstract

We study the combinatorics of an analogue of Green's J\mathcal{J}-relation (a.k.a. the two-sided relation) for the bicategory of finite-dimensional bimodules over finite-dimensional associative algebras over a fixed field. In particular, we provide a number of exameples for both J\mathcal{J}-equivalent and inequivalent but J\mathcal{J}-comparabe algebras.

Keywords

Cite

@article{arxiv.2306.07589,
  title  = {$J$-equivalence for associative algebras},
  author = {Helena Jonsson},
  journal= {arXiv preprint arXiv:2306.07589},
  year   = {2023}
}
R2 v1 2026-06-28T11:03:40.182Z