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, 0(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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Affiliation: | 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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