Bases for Kumjian-Pask algebras over standard $k$-graphs
Raimund Preusser

TL;DR
This paper establishes an explicit basis for Kumjian-Pask algebras over standard $k$-graphs, enhancing understanding of their algebraic structure and facilitating further research in higher-rank graph algebras.
Contribution
It provides a concrete $R$-basis for Kumjian-Pask algebras over standard $k$-graphs, a novel result in the study of these algebraic structures.
Findings
Derived an explicit $R$-basis for $KP_R( ext{standard }k ext{-graphs})
Enhanced understanding of the algebraic structure of Kumjian-Pask algebras
Facilitated future research in higher-rank graph algebras
Abstract
For any Kumjian-Pask algebra defined over a -graph of a special kind (a "standard -graph"), we obtain an -basis.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Algebraic structures and combinatorial models · Advanced Topics in Algebra
