R. Won

collaborators

4 papers

math.RA2019

Simple $Z$ -graded domains of Gelfand-Kirillov dimension two

Luigi Ferraro, Jason Gaddis, Robert Won

Let $k$ be an algebraically closed field and $A$ a $Z$ -graded finitely generated simple $k$ -algebra which is a domain of Gelfand-Kirillov dimension 2. We show that the cat…

math.RA2018

Three infinite families of reflection Hopf algebras

Luigi Ferraro, Ellen Kirkman, W. Frank Moore +1

Let $H$ be a semisimple Hopf algebra acting on an Artin-Schelter regular algebra $A$ , homogeneously, inner-faithfully, preserving the grading on $A$ , and so that $A$ is an $H$ -modu…

math.CO2018

Sidon sets and 2-caps in $F_{3}^{n}$

Yixuan Huang, Michael Tait, Robert Won

For each natural number $d$ , we introduce the concept of a $d$ -cap in $F_{3}^{n}$ . A subset of $F_{3}^{n}$ is called a $d$ -cap if, for each $k = 1, 2, \dots, d$ , no $k + 2$ …

math.RA2018

Fixed rings of generalized Weyl algebras

Jason Gaddis, Robert Won

We study actions by filtered automorphisms on classical generalized Weyl algebras (GWAs). In the case of a defining polynomial of degree two, we prove that the fixed ring under the…

Simple Z-graded domains of Gelfand-Kirillov dimension two

Three infinite families of reflection Hopf algebras

Sidon sets and 2-caps in F3n​

Fixed rings of generalized Weyl algebras

Simple $Z$ -graded domains of Gelfand-Kirillov dimension two

Sidon sets and 2-caps in $F_{3}^{n}$