Non-vanishing Gram determinants for cyclotomic Nazarov–Wenzl and Birman–Murakami–Wenzl algebras☆
Non-vanishing Gram determinants for cyclotomic Nazarov–Wenzl and Birman–Murakami–Wenzl algebras☆
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DOI：
10.1016/j.jalgebra.2011.03.016
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发表时间：
2011-06
影响因子：
0.9
通讯作者：
H. Rui;Mei Si
中科院分区：
文献类型：
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作者：
H. Rui;Mei Si
本文利用Rui和Si（2011）[35]中的方法，给出了任意域上分圆NW和分圆BMW代数的Gram行列式非零的一个充分必要条件.等价地，我们给出了任意域上这类代数的每个胞腔模等于其单头的一个充要条件。
In this paper, we use the method in Rui and Si (2011) [35] to give a necessary and sufficient condition on non-vanishing Gram determinants for cyclotomic NW and cyclotomic BMW algebras over an arbitrary field. Equivalently, we give a necessary and sufficient condition for each cell module of such algebras being equal to its simple head over an arbitrary field.