Some homological aspects of idempotents in idempotented algebras
Arnab Mitra, Rishi Vyas
TL;DR
This paper explores the properties of special and split idempotents in idempotented algebras, providing characterizations for path algebras of quivers within module and derived categories.
Contribution
It offers new characterizations of special and split idempotents specifically for path algebras of quivers, extending existing theory.
Findings
Characterization of special idempotents in path algebras
Analysis of split idempotents in derived categories
Connections between idempotents and module structures
Abstract
We study special idempotents (as described by Bushnell and Kutzko) and split idempotents in the context of module and derived categories for idempotented algebras. We then characterize these concepts for path algebras of quivers.
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