PreprintCC BY 4.0arXiv
Rickard's question on standard derived equivalences
Abstract
In 1991 Rickard asked whether every derived equivalence of algebras over a common field is standard. We construct a series of examples of non-standard derived equivalences, and thus answer the question negatively. Moreover, we give a necessary and sufficient condition for the question to be true.
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BibTeX
@misc{hu2026rickards,
title = {{Rickard's question on standard derived equivalences}},
author = {Wei Hu and Changchang Xi and Jin Zhang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2608.09062},
eprint = {2608.09062},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.09062},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Rickard's question on standard derived equivalences
AU - Wei Hu
AU - Changchang Xi
AU - Jin Zhang
PY - 2026
DA - 2026/09/02
PB - arXiv
DO - 10.48550/arxiv.2608.09062
UR - https://arxiv.org/abs/2608.09062
AB - In 1991 Rickard asked whether every derived equivalence of algebras over a common field is standard. We construct a series of examples of non-standard derived equivalences, and thus answer the question negatively. Moreover, we give a necessary and sufficient condition for the question to be true.
ER -