Some functors preserving exceptionality
Dajun Liu, Hanpeng Gao, Yu-Zhe Liu
TL;DR
This paper introduces tensor functors that transform exceptional sequences between module categories using split extensions and recollements, advancing the understanding of categorical structures in representation theory.
Contribution
It presents new tensor functors that preserve exceptionality and relate different module categories through split extensions and recollements.
Findings
Constructed tensor functors that preserve exceptional sequences.
Established methods to transfer exceptional sequences via categorical tools.
Enhanced understanding of module category relationships.
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.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Rings, Modules, and Algebras · Algebraic structures and combinatorial models