Multi-layer quivers and higher slice algebras
Representation Theory
2022-06-01 v1 Rings and Algebras
Abstract
In this paper, we introduce multi-layer quiver and show how to construct an -slice algebras of infinite type from an -slice algebra of infinite type using the bound quivers. This leads to constructing -slice algebras of infinite type as matrix algebra and as tensor algebra of an -slice algebra and equivalences of their module categories as the module categories of diagram of some quiver of type .
Cite
@article{arxiv.2205.15487,
title = {Multi-layer quivers and higher slice algebras},
author = {Jin Yun Guo and Yanping Hu and Deren Luo},
journal= {arXiv preprint arXiv:2205.15487},
year = {2022}
}