The Hochschild cohomology groups under gluing idempotents
Representation Theory
2023-02-14 v2 K-Theory and Homology
Rings and Algebras
Abstract
We compare the first Hochschild cohomology groups of finite dimensional monomial algebras under gluing two idempotents. We also compare the fundamental groups and the Hochschild cohomology groups in other degrees. In particular, we will study the case of gluing a source and a sink, that is, when we obtain a stable equivalence.
Keywords
Cite
@article{arxiv.2211.05435,
title = {The Hochschild cohomology groups under gluing idempotents},
author = {Yuming Liu and Lleonard Rubio y Degrassi and Can Wen},
journal= {arXiv preprint arXiv:2211.05435},
year = {2023}
}
Comments
Some typos were corrected and some clarifications in Section 3 were added. We have simplified the proof of Corollary 3.28