Cellular algebras and inverse semigroups
Cellular algebras and inverse semigroups
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DOI：
10.1016/j.jalgebra.2005.04.027
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发表时间：
2006-02
影响因子：
0.9
通讯作者：
J. East
中科院分区：
文献类型：
--
作者：
J. East
我们证明，在某些相容性假设下，如果逆半群的最大子群的群代数是元胞的，则逆半群的半群代数也是元胞的。有趣的例子包括对称逆半群（也称为车幺半群）和对偶对称逆半群。
We show that under certain compatability assumptions, the semigroup algebra of an inverse semigroup is cellular if the group algebras of its maximal subgroups are cellular. Motivating examples include the symmetric inverse semigroup (also known as the rook monoid), and the dual symmetric inverse semigroup.