English

Some functors preserving exceptionality

Representation Theory 2025-06-10 v2 Category Theory

Abstract

We constructed some tensor functors that send each exceptional sequence in a module category to another exceptional sequence in another module category by using split extensions and recollements.

Keywords

Cite

@article{arxiv.2506.00122,
  title  = {Some functors preserving exceptionality},
  author = {Dajun Liu and Hanpeng Gao and Yu-Zhe Liu},
  journal= {arXiv preprint arXiv:2506.00122},
  year   = {2025}
}

Comments

16 pages; Some errors have been corrected in this version

R2 v1 2026-07-01T02:51:32.323Z