# Polynomial relations between operators on chains of representation rings

```@article{Park2022PolynomialRB,
title={Polynomial relations between operators on chains of representation rings},
author={Sun Woo Park and Maithreya Sitaraman},
journal={Communications in Algebra},
year={2022},
volume={50},
pages={3218 - 3245}
}```
• Published 20 September 2019
• Mathematics
• Communications in Algebra
Abstract Given a chain of groups we may form the corresponding chain of their representation rings, together with induction and restriction operators. Let denote the operator which restricts down l steps, and similarly for Observe that is an operator from any particular representation ring to itself. We provide explicit rigid constraints that a group of chain with surjective restriction operators satisfying the polynomial property must obey. The central question that this paper addresses is…

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