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arXiv · 2205.00472

A symmetry of silting quivers

Takuma Aihara·Qi Wang
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Abstract

We investigate symmetry of the silting quiver of a given algebra which is induced by an anti-automorphism of the algebra. In particular, one shows that if there is a primitive idempotent fixed by the anti-automorphism, then the 2-silting quiver ($=$ the support $\tau$-tilting quiver) has a bisection. Consequently, in that case, we obtain that the cardinality of the 2-silting quiver is an even number (if it is finite).

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BibTeXRIS

Takuma Aihara, Qi Wang. 2022-05-01. A symmetry of silting quivers. https://doi.org/10.1017/s0017089523000204

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