Plane Curves which are Quantum Homogeneous Spaces

Abstract: Plane Curves which are Quantum Homogeneous Spaces Abstract: In this talk, we will discuss the construction of examples of quantum homogeneous spaces using the equation of a plane curve. The Hopf algebras we construct are isomorphic to the quantum plane and down-up algebras when the degree of the equation is two or three respectively. Interesting properties and open problems about these Hopf algebras will be discussed

Mathematics

Audience: researchers in the topic

European Quantum Algebra Lectures (EQuAL)

Series comments: EQuAL is an online seminar series on quantum algebra and related topics such as topological and conformal field theory, operator algebra, representation theory, quantum topology, etc. sites.google.com/view/equalseminar/home