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math.AG2026
Borel subgroups of the automorphism group of an affine variety
Michael Chitayat, Daniel Daigle, Andriy Regeta
We study Borel subgroups of the automorphism group of an affine variety X and their associated Lie algebras. We prove a bijective correspondence between the set of Borel subgroups…
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…