3 papers
math.AC2026
Locally finite sets of derivations
Michael Chitayat, Daniel Daigle, Andriy Regeta
Given an algebra B over a field k, we study conditions under which a Lie subalgebra of Der(B) is locally finite as a set of derivations. As an application of our results, we show t…
math.AC2026
Rigidity of Graded Integral Domains and of their Veronese Subrings
Daniel Daigle
A ring R is said to be rigid if the only locally nilpotent derivation of R is the zero derivation. Let G be an abelian group, and B = (direct sum of B_i for i in G) be a G-graded c…
math.AG2024
Decorated trees
Pierrette Cassou-Noguès, Daniel Daigle
We study a class of combinatorial objects that we call "decorated trees". These consist of vertices, arrows and edges, where each edge is decorated by two integers (one near each o…