Nakayama Twisted Centers and Dual Bases of Frobenius Cellular Algebras |
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| Authors: | Yanbo Li |
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| Affiliation: | 1. School of Mathematics and Statistics , Northeastern University at Qinhuangdao , Qinhuangdao , China liyanbo707@163.com |
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| Abstract: | For a Frobenius cellular algebra, we prove that, if the left (right) dual basis of a cellular basis is again cellular, then the algebra is symmetric. Moreover, some ideals of the center are constructed by using the so-called Nakayama twisted center. |
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| Keywords: | Dual basis Frobenius cellular algebra Nakayama twisted center |
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