一类Auslander代数上可倾模的个数

Pub Date : 2022-05-24 DOI:10.1142/s0218196723500479

Daniel Chen, Xiaojin Zhang

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引用次数: 0

摘要

让 $\Lambda$ 是一个Dynkin颤振的零平方代数 $\Gamma$ 是澳洲人的代数 $\Lambda$．然后是向右倾斜的次数 $\Gamma$-modules is $2^{m-1}$ 如果 $\Lambda$ 是 $A_{m}$ 类型 $m\geq 1$．否则，数字向右倾斜 $\Gamma$-modules is $2^{m-3}\times14$ 如果 $\Lambda$ 是其中之一 $D_{m}$ 类型 $m\geq 4$ 或 $E_{m}$ 类型 $m=6,7,8$．

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On the Number of Tilting Modules Over a Class Of Auslander Algebras

Let $\Lambda$ be a radical square zero algebra of a Dynkin quiver and let $\Gamma$ be the Auslander algebra of $\Lambda$. Then the number of tilting right $\Gamma$-modules is $2^{m-1}$ if $\Lambda$ is of $A_{m}$ type for $m\geq 1$. Otherwise, the number of tilting right $\Gamma$-modules is $2^{m-3}\times14$ if $\Lambda$ is either of $D_{m}$ type for $m\geq 4$ or of $E_{m}$ type for $m=6,7,8$.

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