| POINCAR SERIES AND AN APPLICATION TO WEYL ALGEBRAS |
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| 引用本文： | 王志华,魏俊潮,李立斌.POINCAR SERIES AND AN APPLICATION TO WEYL ALGEBRAS[J].数学物理学报(B辑英文版),2011(2). |
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| 作者姓名： | 王志华 魏俊潮 李立斌 |
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| 作者单位： | School of Mathematics;Yangzhou University;Department of Mathematics;Taizhou College Nanjing Normal University; |
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| 基金项目： | Supported by the National Natural Science Foundation of China (10771182) |
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| 摘 要： | Let A n be the n-th Weyl algebra over a field of characteristic 0 and M a finitely generated module over A n . By further exploring the relationship between the Poincar′e series and the dimension and the multiplicity of M , we are able to prove that the tensor product of two finitely generated modules over A n has the multiplicity equal to the product of the multiplicities of both modules. It turns out that we can compute the dimensions and the multiplicities of some homogeneous subquotient modules of A n .
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| 关 键 词： | Weyl algebra Poincar′e series dimension multiplicity |
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