Liping Li

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math.RT2025

On representations of permutation groups and orbit categories

Liping Li

Given an infinite set $I^c ◯$ and a ring $R$ as well as a group $G$ acting on them, we show that $G$ and a subgroup $H$ share the same canonical relational structure on $I^c ◯$ if and on…

math.RT2025

Noetherianity of polynomial rings up to group actions

Liping Li, Yinhe Peng, Zhengjun Yuan

Let $k$ be a commutative Noetherian ring, and $k [S]$ the polynomial ring whose indeterminates are parameterized by elements in a set $S$ . We show that $k [S]$ is Noetherian up to hi…