
An Introduction to the Invariant Theory of Finite Groups
Department of Mathematics, Wilfrid Laurier University
Speaker
Professor Yin Chen, Northeast Normal University, China
Title
An Introduction to the Invariant Theory of Finite Groups
Abstract
Let W be a faithful n-dimensional representation of a finite group G over a field F. Let W* denote the dual space of W. We multiplicatively extend the action of G on W* to an action of G on the symmetric algebra F[W]:=S(W*) on W*. The invariant ring F[W]G:={f\in F[W] : \sigma (f)=f,\forall \sigma\in G} is the main object of study in algebraic invariant theory. In this talk, I will present a quick introduction to the nonmodular invariant theory of finite groups, including Chevalley-Shephard-Todd's theorem, Molien's formula, and Cohen-Macaulayness of the invariant rings.
Date
Monday, Nov. 26, 2018
Time
4 p.m. - 4:50 p.m.
Location
LH3058 (Lazaridis Hall, Room 3058)