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A symmetry of silting quivers
Published online by Cambridge University Press: 26 July 2023
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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- Research Article
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- Copyright
- © The Author(s), 2023. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust
Footnotes
TA was partly supported by JSPS Grant-in-Aid for Young Scientists 19K14497. QW was partly supported by JSPS Grant-in-Aid for Young Scientists 20J10492.
References
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