Derived tubular strongly simply connected algebras-Reference-Cited by-同舟云学术

Derived tubular strongly simply connected algebras

Published:1999 Issue:3 Volume:127 Page:647-655
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Barot M.,de la Peña J.

Abstract

Let A A be a finite dimensional algebra over an algebraically closed field k k . Assume A = k Q / I A=kQ/I for a connected quiver Q Q and an admissible ideal I I of k Q kQ . We study algebras A A which are derived equivalent to tubular algebras. If A A is strongly simply connected and Q Q has more than six vertices, then A A is derived tubular if and only if (i) the homological quadratic form χ A \chi _A is a non-negative of corank two and (ii) no vector of χ A − 1 ( 1 ) \chi _A ^{-1}(1) is orthogonal (with respect tho the homological bilinear form) to the radical of χ A \chi _A .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1999-127-03/S0002-9939-99-04531-1/S0002-9939-99-04531-1.pdf

Reference18 articles.

1. On some classes of simply connected algebras;Assem, Ibrahim;Proc. London Math. Soc. (3),1988

2. On some classes of simply connected algebras;Assem, Ibrahim;Proc. London Math. Soc. (3),1988

3. Quadratic forms and iterated tilted algebras;Assem, Ibrahim;J. Algebra,1990

4. M. Barot, Representation-finite derived tubular algebras, To appear.

5. On simply connected algebras;Bautista, R.;J. London Math. Soc. (2),1983

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