Examples of tilting-discrete symmetric algebras
Representation Theory
2025-11-11 v1 Rings and Algebras
Abstract
We give several examples of tilting-discrete symmetric algebras; in particular, one explores which algebra has tilting-discrete trivial extension. We provide a counter example of the conjecture stating any {\tau} -tilting finite symmetric algebra is tiltingdiscrete. Also, we discuss the tilting-disconnectedness of symmetric algebras and give new examples of tilting-disconnected symmetric algebras.
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Cite
@article{arxiv.2511.06695,
title = {Examples of tilting-discrete symmetric algebras},
author = {Takuma Aihara},
journal= {arXiv preprint arXiv:2511.06695},
year = {2025}
}
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24 pages