Derivations on toric and trinomial algebras

Abstract: A derivation D on an algebra A is said to be locally nilpotent if any element of A is annihilated by some power of D. If A is an algebra of regular functions on an affine algebraic variety X, then locally nilpotent derivations on A correspond to actions of one-parameter unipotent subgroups on X. In turn, actions of tori on X correspond to gradings on A. I will survey some classification results about homogeneous locally nilpotent derivations on toric varieties and their generalizations.

quantum algebrarings and algebras

Audience: researchers in the topic

European Non-Associative Algebra Seminar