Related papers: From Auslander Algebras to Tilted Algebras
This paper has been withdrawn by the author.
We recall several results in Auslander-Reiten theory for finite-dimensional algebras over fields and orders over complete local rings. Then we introduce $n$-cluster tilting subcategories and higher theory of almost split sequences and…
This paper has been withdrawn by the author(s)
This paper has been withdrawn.
This paper has been withdrawn by the author.
In this paper, we characterize all the finite dimensional algebras that are derived equivalent to an m-cluster tilted algebra of type A tilde. This generalizes a result of Bobonski and Buan [9].
This paper has been withdrawn by the author due to a serious gap in the proof of the main theorem.
This paper has been withdrawn by the authors
For an Artinian $(n-1)$-Auslander algebra $\Lambda$ with global dimension $n(\geq 2)$, we show that if $\Lambda$ admits a trivial maximal $(n-1)$-orthogonal subcategory of $\mod\Lambda$, then $\Lambda$ is a Nakayama algebra and the…
This paper has been withdrawn, as it has been merged into arXiv:1009.6144
This paper has been withdrawn in order to replace it by two separate submissions: 1. Hamiltonian 2-forms in Kahler geometry III: Extremal metrics and stability, math.DG/0511118; 2. Hamiltonian 2-forms in Kahler geometry IV: Weakly…
This paper has been withdrawn by the author due to a crucial argument error at p.10.
The methods used to prove the main result must be incorrect, as they can be used to arrive at a contradiction with previously known results. Thus the paper was withdrawn.
This paper has been withdrawn by the author.
This paper has been withdrawn by the authors due to the inconsistency of the computations used for extra dimensions and the fractal dimensional approach of the paper. An updated version of the paper will be published under a different…
This submission has been withdrawn by arXiv administration.
This paper has been withdrawn by the author due to a crucial error in equation.
This paper has been superseded by math.AG/0510287 and withdrawn by the author.
Cluster-tilted algebras are trivial extensions of tilted algebras. This correspondence induces a surjective map from tilted algebras to cluster-tilted algebras. If B is a cluster-tilted algebra, we use the fibre of B under this map to study…
This paper has been withdrawn by the author(s) and included into the new version of "An extension theorem for separately holomorphic functions with singularities", math.CV/0104089.