Related papers: From Auslander Algebras to Tilted Algebras
This paper has been withdrawn by the author due to that the main results and approaches are closedly parallel to the ones in Lie algebra case.
This paper has been withdrawn by the author(s), due the final version in math.QA/0604564
This paper has been withdrawn by the author, since the result was already known.
This paper has been withdrawn by the authors. Because of a misunderstanding, the paper was submitted prematurely to the arXiv. A replacement will follow.
This paper has been withdrawn since it contains some discrepancy with othe authers's recent result. We will not post this until this discrepancy is resolved.
This paper has been withdrawn since we combine this paper with math.AC/0503685. All contents of the paper have been moved to math.AC/0503685.
Let $\Lambda$ be an Auslander's 1-Gorenstein Artinian algebra with global dimension two. If $\Lambda$ admits a trivial maximal 1-orthogonal subcategory of $\mod\Lambda$, then for any indecomposable module $M \in \mod \Lambda$, we have that…
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This paper has been withdrawn by the author. The content of the previous versions is now covered by the more recent papers - math.DG/0610252 (concerning the Lie group structuren on the gauge groups) - math.DG/0612522 (concerning the weak…
Let $A$ be an Auslander algebra of global dimension equal to 2. We provide a necessary and sufficient condition for $A$ to be a tilted algebra. In particular, $A$ is tilted if and only if pd$(\tau_{A}\Omega_{A}DA)\leq1$.
This paper has been withdrawn by the author, due an error in the proof of Proposion 2.13.
This paper has been withdraw by the auhor due to a mistake in classification of the algebra
This paper has been withdrawn by the authors, due an error in Bethe Ansatz equations (16).
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This paper has been withdrawn by the authors, since it has been merged with Part I (ID 0802.3570)
The paper has been withdrawn.
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This paper has been withdrawn because of serious errors.
This paper has been withdraw by the author due to adding more modeling results.
This paper has been withdrawn by the author due to its main result being included in cond-mat/0403309 by the same author.