Derived tubular strongly simply connected algebras

Barot, M.; de la Peña, J.

doi:10.1090/S0002-9939-99-04531-1

Derived tubular strongly
simply connected algebras

Authors: M. Barot and J. A. de la Peña
Journal: Proc. Amer. Math. Soc. 127 (1999), 647-655
MSC (1991): Primary 16G10, 16G60, 18E30.
DOI: https://doi.org/10.1090/S0002-9939-99-04531-1
MathSciNet review: 1468181
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Abstract: Let be a finite dimensional algebra over an algebraically closed field . Assume for a connected quiver and an admissible ideal of . We study algebras which are derived equivalent to tubular algebras. If is strongly simply connected and has more than six vertices, then is derived tubular if and only if (i) the homological quadratic form $\chi _A$ is a non-negative of corank two and (ii) no vector of $\chi _A ^{-1}(1)$ is orthogonal (with respect tho the homological bilinear form) to the radical of $\chi _A$ .

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