| A~n型例外序列的自同态代数的表示型 |
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| 引用本文： | 姚海楼,平艳茹. A~n型例外序列的自同态代数的表示型[J]. 数学学报, 1998, 41(5): 993-998. DOI: cnki:ISSN:0583-1431.0.1998-05-011 |
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| 作者姓名： | 姚海楼 平艳茹 |
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| 作者单位： | 北京工业大学应用数学系 |
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| 摘 要： | 令Ｆ是一个代数闭域，→Δ是Ａｎ型ｑｕｉｖｅｒ，本文利用垂直范畴证明了Ｆ→Δ上例外序列的自同态代数是有限多个Ａｍ（ｍｎ）型倾斜代数的直和，从而Ａｎ型例外序列的自同态代数是有限表示型的．
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| 关 键 词： | 例外序列，垂直范畴，倾斜代数 |
Representation Type of Endomorphism Algebras of Exceptional Sequences of Type A n |
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| Affiliation: | Yao Hailou Ping Yanru (Department of Applied Mathematics, Beijing Polytechnic University, Beijing 100022, China) |
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| Abstract: | Let F be an algebraically closed field, AΔ→U be a quiver of type A n.In this article we prove that the endomorphism algebras of exceptional sequences over FAΔ→U are direct sums of finitely many tilted algebras of typeA m where mn by using perpendicular categories, and thus the endomorphism algebras of exceptional sequences of type A n arerepresentation-finite. |
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| Keywords: | Exceptional sequences Perpendicular categories Tilted algebras |
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