| 量子代数有限型模权空间的若干性质 |
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| 引用本文： | 谭志明,;詹涌强.量子代数有限型模权空间的若干性质[J].佛山科学技术学院学报(自然科学版),2014(4):13-15. |
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| 作者姓名： | 谭志明 ;詹涌强 |
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| 作者单位： | [1]广东广播电视大学基础教学部,广东广州510091; [2]华南理工大学广州学院基础部,广东广州510800 |
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| 基金项目： | 广东广播电视大学校级科研资助项目（I105） |
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| 摘 要： | 令M 是Z？v？的由v？1和奇素数p生成的理想，U是A＝Z？v？M 上相伴于对称Cartan矩阵的量子代数。若U模M 作为A模是有限生成的，则称M 为有限型U模。给出了量子代数有限型模权空间的若干性质。
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| 关 键 词： | 量子代数 量子代数的表示 权空间 |
Some properties of weight space of finite type module of quantum algebras |
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| Institution: | TAN Zhi-ming, ZHAN Yong-qiang ( 1. Department of Mathematics Education, Guangdong Radio ＆ TV University, Guangzhou 510091, China; 2. Department of Mathematics Education, Guangzhou College of South China University of Technology, Guangzhou 510800, China ) |
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| Abstract: | Let M be the ideal in Z？v？ generated by v？1 and an odd prime p, U be a quantum algebra over A？Z？v？M with a symmetric Cartan matrix. M was said to be finite type U -module if U -module M as A-module was finitely generated. In this paper, we give some properties of weight space of finite type module of quantum algebras. |
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| Keywords: | quantum algebra representations of quantum algebras weight space |
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