3 papers
math.RA2026
Lie subalgebras of vector fields on curves
Lucas Buzaglo, Colin Ingalls
We study the subalgebra structure of Krichever-Novikov algebras, which are Lie algebras of vector fields on smooth affine curves. Our main result is that every infinite-dimensional…
math.RA2026
Discrete Invariants of Koszul Artin-Schelter Regular Algebras of Dimension four
Vishal Bhatoy, Colin Ingalls
We compute the superpotentials for known families of Koszul Artin-Schelter regular algebras of dimension four using Magma, and apply Schur-Weyl duality from representation theory t…
math.RA2025
Some components of the moduli space of Koszul Artin-Schelter regular algebras of dimension four
Vishal Bhatoy, Colin Ingalls, Félix LaRoche +1
We compute the Hochschild cohomology and the Kodaira spencer map for known families of Koszul Artin-Schelter regular algebras of dimension four. We show that when the Kodaira Spenc…