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math.RT2022
Progress on Infinite Cluster Categories Related to Triangulations of the (Punctured) Disk
Fatemeh Mohammadi, Job Daisie Rock, Francesca Zaffalon
In this mostly expository paper, we present recent progress on infinite (weak) cluster categories that are related to triangulations of the disk, with and without a puncture. First…
math.RT2022
Admissible ideals for k-linear categories
Karin M. Jacobsen, Job D. Rock
We generalize the notion of an admissible ideal from path algebras to (small) k-linear categories that satisfy the Krull--Remak--Schmidt--Azumaya assumption. In our treatment we fi…
math.RT2022
Continuous Nakayama Representations
Job D. Rock, Shijie Zhu
We introduce continuous analogues of Nakayama algebras. In particular, we introduce the notion of (pre-)Kupisch functions, which play a role as Kupisch series of Nakayama algebras,…