Multiplicative Invariants of Root Lattices

Download or read book Multiplicative Invariants of Root Lattices written by Jessica Ann Hamm and published by . This book was released on 2014 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical invariant theory is a field of study within abstract algebra that has been around for well over a century. However, the field of multiplicative invariant theory is rather new, having only been studied formally for the past 35 years. Multiplicative invariants arise naturally in a variety of settings, notably as representation rings of Lie algebras, centers of group algebras, and actions on algebraic tori. In this thesis we calculate the multiplicative invariants for lattices associated to root systems under the actions of their Weyl groups.