FI-modules: a new approach to stability for S_n-representations
By Thomas Church, Jordan S. Ellenberg, Benson Farb. 2012
50 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/c82d05d801bdac369d567a1635d31224bb9c63e0
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
- Jenny Wilson
- Thomas Church
- Andrew Putman
- Rohit Nagpal
- Benson Farb
- Jordan S. Ellenberg
- Jan Draisma
- Steven V. Sam
Citations in the corpus
- Representation Stability (2014, methodology): “The following theorem, joint work with Thomas Church, Jordan Ellenberg, and Rohit Nagpal, is central to the theory of FI-modules; it is perhaps the most useful general tool for proving that a given FI-module is finitely generated.”
- FI_W-modules and stability criteria for representations of the classical Weyl groups (2013, methodology): “Shortly after the appearance of Putman’s work, the work on FI–modules [CEF12] were strengthened further by Church–Ellenberg– Farb–Nagpal [CEFN14].”
- Noetherianity up to Symmetry (2013, unknown): “Further recent keywords closely related to the topic of this chapter are GL ∞ -algebras [ SS12 ], FI-modules [ CEF12 ], and cactus varieties [ BB13 ].”
- Representation stability in cohomology and asymptotics for families of varieties over finite fields (2013, methodology): “One of the main theorems of [CEF] states that for any fixed character polynomial P and any finitely-generated FI-module V , the inner products 〈χP , Vn〉Sn are eventually constant.”
- Topological Noetherianity of polynomial functors (2017, methodology): “the theory of modules over the category FI of finite sets with injective maps [7]; Gröbner techniques [29] for modules over more general combinatorial categories that, among other things, led to a resolution of the Artinian conjecture [24] and to a resolution of a conjecture by Rauh-Sullivant [26] o”
- FI-modules over Noetherian rings (2012, background): “The category of FI-modules defined in [6] admits a natural notion of finite generation, which is central to the story told there.”
- Stability in the homology of congruence subgroups (2012, methodology): “This follows easily from the results in [8], but we give a short direct proof.”