Modules Over Double Crossproducts of Skew-Hopf Pairs
-
摘要: 研究了Skew-Hopf对的二重交叉积D(X,A)的表示模,得到了M成为D(X,A)的表示模的充要条件;D(X,A)-模与量子Yang-Baxter X-模、A-模之间的联系也被揭示出来。
-
关键词:
- Skew-Hopf对 /
- 二重交叉积 /
- 表示模 /
- (量子)Yang-Baxter模
Abstract: The purpose is to study modules of double crossproducts D(X,A) of Skew-Hopf pairs (X,A). A sufficient and necessary condition for M to be D(X,A)-mod is shown. Relations between D(X,A)-mod and quantam Yang-Baxter A-mod or X-mod are revealed.-
Key words:
- Skew-Hopf pair /
- double crossproduct /
- module /
- quantum Yang-Baxter module
-
[1] Yang C N.S matrix for the one-dimensionae N-body problem with rep ulsive or attractive δ-function interaction[J].Physical Review,1968,168(5):1920-1923. [2] Baxter R J.Partition function of the eight-vertex lattice model[A].In:Jimb M Ed.Yang-Baxter Equation in Intergrable Systems[C].Adv Series in Math Phys,Vol.10.Singapor:World Scientific,1989,14-49. [3] Drinfeld V G.Quantum groups [A].In:ICM Ed.ICM Proceedings,Berkeley,1986[C].Providence:AMS,1987,798-820. [4] Majid S.Physics for algebraists:non-commutative and Non-Commutative Hopf algebras by a bicrossproduct construction[J].J Alg,1990,130(1):17-64. [5] 潘庆年,郝志峰.Skew-Hopf对的二重交叉积[J].数学学报,20 00,43(3):569-576. [6] Sweedler M.Hopf Algebras[M].New York:Benjamin,1969. [7] Abe E.Hopf Algebras[M].London/New York:Cambridge University Press,1977. [8] Takeuchi M.Sometopics on GLq(n)[J].J Alg,1992,147(1):379-410. [9] Radford D E.Solutions to the quantum Yang-Baxter equation and the Drinfeld double[J].J Alg,1993,161(1):20-32. [10] 潘庆年.关于函子与(余)反射的扩张[J].科学通报,1992,37(10):957-958. [11] Smith S P.Quantum groups:an introduction and survey forring the orists[A].in Non-Commutative Rings.In:Montgomery S,Small W L Eds.Math Sci Res Inst Publications 24[C].Berlin:Springer,1992,78-131.
计量
- 文章访问数: 2052
- HTML全文浏览量: 138
- PDF下载量: 652
- 被引次数: 0