Latest Achievements
Dr. Peter Goetz' article titled "Some Artin-Schelter Regular Algebras From Dual Reflection Groups And Their Geometry" has been accepted for publication and will appear in the prestigious Journal of Noncommutative Geometry, a publication of the European Mathematical Society. The work, joint with colleagues at Wake Forest University and UCLA, introduces new tools for studying regular algebras which are graded by finite groups. The article also studies new and novel examples of four-dimensional quadratic Artin-Schelter regular algebras, proving algebraic and homological properties, and determining their noncommutative geometry.
Dr. Peter Goetz' article titled "Some Artin-Schelter Regular Algebras From Dual Reflection Groups And Their Geometry" has been accepted for publication and will appear in the prestigious Journal of Noncommutative Geometry, a publication of the European Mathematical Society. The work, joint with colleagues at Wake Forest University and UCLA, introduces new tools for studying regular algebras which are graded by finite groups. The article also studies new and novel examples of four-dimensional quadratic Artin-Schelter regular algebras, proving algebraic and homological properties, and determining their noncommutative geometry.