| 量子代数D（—）函子的系数扩张 |
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| 引用本文： | 刘楚源.量子代数D（—）函子的系数扩张[J].茂名学院学报,2009,19(6):64-66,69. |
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| 作者姓名： | 刘楚源 |
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| 作者单位： | 汕头职业技术学院,广东,汕头,515078 |
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| 基金项目： | 汕头职业技术学院科研基金资助项目 |
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| 摘 要： | 令A=Zν]m,其中m是ν-1和某奇素数p生成的理想,ν是未定元.A′=Q（ν）是a的分式域,（aij）nxn是对称Cartan矩阵,令U′是A′上相伴于对称Cartan矩阵（aij）nxn的量子代数.U是U′的由Ei（N）,Fi（N）,Ki,Ki-1（i=1,2,…,N≥0）生成的A子代数,则U是A-Hopf代数.本文讨论了U中函子D（—）的系数扩张的若干性质,即对A代数Γ,如上函子的基环从A扩张到Γ时,函子Dr（—）具有的性质.
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| 关 键 词： | 量子代数 诱导函子 系数扩张 |
The Coefficient Extends of Functor over Quantum Algebras |
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| LIU Chu-yuan.The Coefficient Extends of Functor over Quantum Algebras[J].Journal of Maoming College,2009,19(6):64-66,69. |
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| Authors: | LIU Chu-yuan |
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| Institution: | LIU Chu - yuan (Shantou Polytechnic, Shantou 515078, China) |
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| Abstract: | We Let A = Zv] re,where is an indeterminate and m is an ideal in Zv] generated by v- 1 and a fixed odd prime p, A＇ = Q （v） is the fraction field of A, let U＇ is a quantum algebra over A＇ associated to symmetry Caftan matrix （aij）axn. u is the A - subalgebra of U＇ generated by Ei（N）,Fi（N）,Ki,Ki-1（i=1,2,…,N≥0） so is a A - Hopf algebra. In this paper, the author gives several features of induction functor D, （ - ） after extending coefficient from A which is the basic ring of functor D（ - ） to any A algebra Г. |
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| Keywords: | quantum algebra induction functor coefficient extends |
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