Classically, linearly reductive groups are an interesting and well-known topic in invariant theory over fields. The ring of invariants under the action of a linearly reductive group usually has rich properties. I will define the notion of linear reductivity over rings and study properties of the ring of invariants. I will also compare linear reductivity with other notions of reductivity.
Algebra Seminar
Monday, February 7, 2022 - 3:30pm
Yidi Wang
University of Pennsylvania