论文标题

计算Nakayama代数超出$τ$的序列的数量

Counting the number of $τ$-exceptional sequences over Nakayama algebras

论文作者

Msapato, Dixy

论文摘要

Buan和Marsh在2018年引入了$τ$ - 外序序列的概念,这是对有限维代数的特殊序列的概括。我们计算某些类Nakayama代数的完整$τ$ - 外序列的数量。在某些情况下,我们获得了封闭的公式,该公式还计算了其他众所周知的组合对象和dynkin is颤动的路径代数的特殊序列。

The notion of a $τ$-exceptional sequence was introduced by Buan and Marsh in 2018 as a generalisation of an exceptional sequence for finite dimensional algebras. We calculate the number of complete $τ$-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.

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