Proceedings of the American Mathematical Society

Author(s): M. Barot; J. A. de la Peña
Journal: Proc. Amer. Math. Soc. 127 (1999), 647-655.
MSC (1991): Primary 16G10, 16G60, 18E30.
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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

. 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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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 16G10, 16G60, 18E30.

M. Barot
Affiliation: Instituto de Matemáticas, UNAM, 04510 México, D.F., México
Email: barot@gauss.matem.unam.mx

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