Examples of tilting-discrete symmetric algebras
Takuma Aihara

TL;DR
This paper provides various examples of tilting-discrete symmetric algebras, explores their properties, and discusses related conjectures and disconnectedness, advancing understanding in algebra representation theory.
Contribution
It introduces new examples of tilting-discrete symmetric algebras and counterexamples to existing conjectures, enriching the classification and properties of these algebras.
Findings
Identified examples of tilting-discrete symmetric algebras.
Counterexample to the conjecture on { au}-tilting finite symmetric algebras.
Discussed tilting-disconnectedness in symmetric 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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Combinatorial Mathematics · Advanced Topics in Algebra
