Dimension expanders via quiver representations
Markus Reineke
TL;DR
This paper explores the connection between dimension expanders and quiver representations, providing new theoretical results on their existence and properties.
Contribution
It introduces a novel link between dimension expanders and quiver representations, leading to sharp existence theorems.
Findings
Established a relation between dimension expanders and quiver representations
Proved sharp existence results for dimension expanders
Enhanced understanding of subrepresentation structures
Abstract
We relate the notion of dimension expanders to quiver representations and their general subrepresentations, and use this relation to establish sharp existence results.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Quantum many-body systems · Homotopy and Cohomology in Algebraic Topology