$\tau$-tilting finiteness of two-point algebras II

Abstract

In this paper, we explain a strategy on $g$-vectors to discover some new minimal $\tau$-tilting infinite two-point algebras. Consequently, the $\tau$-tilting finiteness of various two-point monomial algebras, including all radical cube zero cases, could be determined. Moreover, we find that the derived equivalence class of the Kronecker algebra contains only itself and its opposite algebra.

arXiv comment26 pages, final version, accepted by Journal of Algebra and its Applications

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• Representation type of higher level cyclotomic quiver Hecke algebras in affine type C