3 papers
math.RT2025
Schur Rank, Compatibility Degree, and Canonical Decomposition
Jiarui Fei
The notion of denominator vectors can be extended to all generic basis elements of upper cluster algebras in a natural way. Under a weakened version of generic pairing assumption,…
math.RT2024
On AI's "semistable torsion classes and canonical decompositions"
Jiarui Fei
In this short note, we give two-line proofs for main results in "Semistable torsion classes and canonical decompositions" by Asai-Iyama from a main result in "Tropical -polynomi…
math.RA2024
General Presentations of Algebras and Foundations of -tilting Theory
Harm Derksen, Jiarui Fei
In this short note, we explain how the main results in "-tilting theory" by Adachi-Iyama-Reiten follow from the results in Section 5 of "General presentations of algebras" by D…