| Hall Polynomials for Affine Quivers of Type Am（m≥1） |
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| 作者姓名： | Tao XIE |
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| 作者单位： | Department of Mathematics, Hubei Normal University, Huangshi 435002, P. R. China |
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| 基金项目： | The author is grateful to Bangming Deng for his help. |
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| 摘 要： | It is well known that Hall polynomials as structural coefficients play an important role in the structure of Lie algebras and quantum groups. By using the properties of representation categories of affine quivers, the task of computing Hall polynomials for affine quivers can be reduced to counting the numbers of solutions of some matrix equations. This method has been applied to obtain Hall polynomials for indecomposable representations of quivers of type Am（m≥1）
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| 关 键 词： | 多项式 仿射 模块 计算方法 |
| 收稿时间： | 29 June 2006 |
| 修稿时间： | 29 December 2006 |
Hall polynomials for affine quivers of type Ã
m
(m ≥ 1) |
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| Tao XIE.Hall polynomials for affine quivers of type ?
m
(m ≥ 1)[J].Acta Mathematica Sinica,2008,24(3):387-396. |
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| Authors: | Tao Xie |
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| Institution: | (1) Department of Mathematics, Hubei Normal University, Huangshi, 435002, P. R. China |
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| Abstract: | It is well known that Hall polynomials as structural coefficients play an important role in the structure of Lie algebras and quantum groups. By using the properties of representation categories of affine quivers, the task of computing Hall polynomials for affine quivers can be reduced to counting the numbers of solutions of some matrix equations. This method has been applied to obtain Hall polynomials for indecomposable representations of quivers of type à m (m ≥ 1). |
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| Keywords: | affine quiver preprojective module preinjective module regular module Hall polynomial |
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