Representation Stability

By Benson Farb. 2014

49 citations recorded by the source corpus.

Representation stability is a phenomenon whereby the structure of certain sequences Xn of spaces can be seen to stabilize when viewed through the lens of representation theory. In this paper I describe this phenomenon and sketch a framework, the theory of FI-modules, that explains the mechanism behind it.

Subfields: Computational Theory and Mathematics, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/e838c42d60f826380f8c456d2cea305355ed0784

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Steven V. Sam
2. Andrew Snowden
3. Jan Draisma
4. Andrew Putman

In Discrete Mathematics and Combinatorics

1. Steven V. Sam
2. Andrew Snowden

In Geometry and Topology

1. Steven V. Sam
2. Andrew Snowden
3. Jan Draisma
4. Andrew Putman
5. Rohit Nagpal
6. Jenny Wilson

Citations in the corpus

• Gröbner methods for representations of combinatorial categories (2014, background): “tain compatibilities. This category was studied in [CEF, CEFN], where many examples of representations occurring in algebra and topology are discussed, and from a different point of view in [SS1]. See [Fa] for a survey of its uses and additional references. • Variants of FI. In [Sn], modules over twi”