2 papers
math.QA2026
Derivation based noncommutative geometry of quiver path algebras
Joakim Arnlind, Victor Hildebrandsson
In this paper, we study derivation based noncommutative geometry of path algebras arising from quivers by identifying a Lie algebra of derivations from which a differential calculu…
math.QA2025
On the existence of noncommutative Levi-Civita connections in derivation based calculi
Joakim Arnlind, Victor Hildebrandsson
We study the existence of Levi-Civita connections, i.e torsion free connections compatible with a hermitian form, in the setting of derivation based noncommutative differential cal…