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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
Coactions of cocommutative Hopf algebras on skew polynomial rings
Lucas Buzaglo, Daniel Rogalski
We classify the cocommutative Hopf algebras which coact inner-faithfully on (one-parameter) skew polynomial rings $A_q(n) = \Bbbk \langle x_1,\dots,x_n \rangle/(x_j x_i - q x_i x_j…