Periodic Algebras which are Almost Koszul
Periodic Algebras which are Almost Koszul
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DOI：
10.1023/a:1020146502185
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发表时间：
2002-10
影响因子：
0.6
通讯作者：
S. Brenner;M. C. R. Butler;A. King
中科院分区：
文献类型：
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作者：
S. Brenner;M. C. R. Butler;A. King
Dynkin颤栗的预投影代数和平凡扩展代数（在二部方向上）非常接近于Koszul对偶代数对。在这种情况下，通常的对偶理论可以被用来证明每个代数都有一个周期双模分辨率，它是用另一个代数和一些额外的数据建立的：代数自同构。提出了这类“几乎科祖尔”代数的一般理论，并给出了其他例子。
The preprojective algebra and the trivial extension algebra of a Dynkin quiver (in bipartite orientation) are very close to being a Koszul dual pair of algebras. In this case the usual duality theory may be adapted to show that each algebra has a periodic bimodule resolution built using the other algebra and some extra data: an algebra automorphism. A general theory of such ‘almost Koszul’ algebras is developed and other examples are given.