TY - JOUR
T1 - Generalized representation stability and FId -modules
AU - Ramos, Eric
N1 - Publisher Copyright:
© 2017 American Mathematical Society.
PY - 2017
Y1 - 2017
N2 - In this note we consider the complex representation theory of FId, a natural generalization of the category FI of finite sets and injections. We prove that finitely generated FId -modules exhibit behaviors in the spirit of Church-Farb representation stability theory, generalizing a theorem of Church, Ellenberg, and Farb which connects finite generation of FI-modules to representation stability.
AB - In this note we consider the complex representation theory of FId, a natural generalization of the category FI of finite sets and injections. We prove that finitely generated FId -modules exhibit behaviors in the spirit of Church-Farb representation stability theory, generalizing a theorem of Church, Ellenberg, and Farb which connects finite generation of FI-modules to representation stability.
KW - FI-modules
KW - Representation stability
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U2 - 10.1090/proc/13618
DO - 10.1090/proc/13618
M3 - Article
AN - SCOPUS:85029605685
SN - 0002-9939
VL - 145
SP - 4647
EP - 4660
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 11
ER -