Counting the Number of t-Exceptional Sequences over Nakayama Algebras
Counting the Number of t-Exceptional Sequences over Nakayama Algebras
复制标题
计算中山代数上 t 异常序列的数量
DOI：
10.1007/s10468-021-10060-y
复制
发表时间：
2021
影响因子：
0.6
通讯作者：
Msapato D
中科院分区：
文献类型：
--
作者：
Msapato D
一个τ-例外序列的概念是由Buan和Marsh在1999年引入的，作为有限维代数例外序列的一个推广。计算了某些Nakayama代数类上完全τ-例外序列的个数.在某些情况下，我们得到封闭的公式，也计数其他著名的组合对象，和例外序列的Dynkin箭图的路代数。
The notion of aτ-exceptional sequence was introduced by Buan and Marsh in as a generalisation of an exceptional sequence for finite dimensional algebras. We calculate the number of completeτ-exceptional sequences over certain classes of Nakayama algebras. In some cases, we obtain closed formulas which also count other well known combinatorial objects, and exceptional sequences of path algebras of Dynkin quivers.