Multi-layer quivers and higher slice algebras

Abstract

In this paper, we introduce multi-layer quivers and show how to construct an [Formula: see text]-slice algebra of infinite type from an [Formula: see text]-slice algebra of infinite type using the bound quivers. This leads to constructing [Formula: see text]-slice algebras of infinite type as matrix algebra and as tensor algebra of an [Formula: see text]-slice algebra and equivalences of their module categories as the module categories of diagram of some quiver of type [Formula: see text].