FI-algebrasAlgebra & Discrete Mathematics
|Robert Krone, University of California Davis
|Wed, Mar 14 2018, 4:10PM
An FI-algebra encodes a family of algebras with symmetric group actions, and an ideal of an FI-algebra represents an infinite family of ideals with symmetry. I will give an overview of some results about when such ideals are finitely generated, and how to compute with them. Then I will explain how to compute Hilbert series of these ideals. Along the way we will see some surprising connections to combinatorics, such as well-partial orders and regular languages.