Automorphisms of Quantum Polynomial Algebras | Department of Mathematics

Automorphisms of Quantum Polynomial Algebras

Event Information
Event Location: 
GAB 461
Event Date: 
Friday, September 29, 2023 - 1:00pm

An important problem in algebra is to give algebraic descriptions for automorphism groups of noncommutative algebras. In this talk, we examine quantum polynomial algebras and their graded automorphisms. We fix a subgroup $G$ of $\text{GL}(V)$ and ask for a description of all quantum polynomial rings on which $G$ acts by automorphisms. We will start by considering cyclic monomial subgroups and then discuss ideas for generalizing to the non-cyclic and non-monomial subgroups of $\text{GL}(V)$.