Cyclic orders on the quantum grassmannian
Cyclic orders on the quantum grassmannian
复制标题
量子格拉斯曼的循环阶
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
E. Russell
中科院分区：
文献类型：
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作者：
T. Lenagan;E. Russell
当生成量子子式的偏序集被赋予标准偏序时，量子Grassman代数是一个具有拉直规律的分次量子代数。本文证明了当排序发生循环移位时，这一结果仍然成立。该方法包括证明非对易反齐次化在任何连续的量子子集上都是可能的。
The quantum grassmannian is known to be a graded quantum algebra with a straightening law when the poset of generating quantum minors is endowed with the standard partial ordering. In this paper it is shown that this result remains true when the ordering is subjected to cyclic shifts. The method involves proving that noncommutative dehomogenisation is possible at any consecutive quantum minor.