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Professor Yin Chen, Northeast Normal University, China
An Introduction to the Invariant Theory of Finite Groups
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.
Monday, Nov. 26, 2018
4 p.m. - 4:50 p.m.
LH3058 (Lazaridis Hall, Room 3058)