期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

对称群的分歧数据系统分类 被引量：1

Classifications of Ramification System for Symmetric Group
原文传递
导出
摘要 含特征标的分歧数据系统能被用来分类PM箭图Hopf代数.本文给出了对称群Sn(n≠6)上含特征标的分歧数据系统的同构类个数的计算公式. Ramification systems with characters can be applied to classify the quiver Hopf algebras. In this paper, we obtain the formula to compute the number of elements in isomorphic classes of ramification systems with characters over group Sn （n ≠ 6）.
作者 张寿传 吴敏 王恒太
机构地区 湖南大学数学系
出处 《数学学报（中文版）》 SCIE CSCD 北大核心 2008年第2期253-264,共12页 Acta Mathematica Sinica：Chinese Series
关键词 分歧数据 特征标 对称群 ramification character symmetry group
分类号 O153.3 [理学—基础数学]
  • 相关文献

参考文献21

  • 1Frenkel I., Zhu Y.,Vertex operator algebras associated to representations of affine and Virasoro algebras, Duke Math. J, 1992, 66: 123-168.
  • 2Hennings M. A., Hopf algebras and regular isotopy invariants for link diagrams, Pro. Cambridge Phil. Soc., 1991, 109:59 77.
  • 3Kauffman L., invariants of links and 3-manifolds via Hopf algebras, in Geometry and Physics, Marcel Dekker Lecture Notes in Pure and Appl. Math., 1997, 184:471 479.
  • 4Radford D. E., On Kauffman's knot invariants arising from finite-dimensional Hopf algebras, in Advances in Hopf Algebras, Marcel Dekker Lecture Notes in Pure and Appl. Math., 1994, 158:205 266.
  • 5Reshetikhin Yu N., Turaev V. G., Ribbon graphs and their invariants derived from quantum groups, Commun. Math. Phys., 1990, 127: 1-26.
  • 6Chen X. W., Huang H. L., Ye Y., Zhang P., Monomial Hopf algebras, J. Alg., 2004, 275:212-232.
  • 7Oystaeyen F. V., Zhang P., Quiver Hopf algebras, J. Alg., 2004, 280: 577-589.
  • 8Andruskiewitsch N., Schneider H. J., Hopf algebras of order p^2 and braided Hopf algebras, J. Alg., 1998, 199: 430-454.
  • 9Andruskiewitsch N., Schneider H. J., Lifting of quantum linear spaces and pointed Hopf algebras of order p^3, J. Alg., 1998, 209: 645-691.
  • 10Andruskiewitsch N., Schneider H. J., Pointed Hopf algebras, new directions in Hopf algebras, edited by Montgomery S. and Schneider H. J., Cambradge: Cambradge University Press, 2002.

同被引文献11

  • 1MAJID S. Physics for algebraists: non-commutative and non-cocommutative Hopf algebras by a bicrossproduct construction [J]. J Algebra, 1990, 130(1): 17-64.
  • 2RESHETIKHIN N Y, TURAEV V G. Ribbon graphs and their invariants derived from quantum groups [J]. Comm Math Phys, 1990, 127(1): 1-26.
  • 3CIBILS C, ROSSO M. Hopf quivers [J]. J Algebra, 2002, 254(2): 241-251.
  • 4CHEN Xiaowu, HUANG Hualin, YE Yu, et al. Monomial Hopf algebras [J]. J Algebra, 2004, 275(1): 212- 232.
  • 5VAN OYSTAEYEN F, ZHANG Pu. Quiver Hopf algebras [J]. J Algebra, 2004, 280(2) : 577-589.
  • 6ZHANG Shouquan, ZHANG Yaozhong, CHEN Huixiang. Classification of PM quivers Hopf algebras [J]. J Algebra Appl, 2007, 6(6): 919-950.
  • 7吴美云.交换群上Hopf路余代数的结构分类[J].数学物理学报:A,2009,29(4):1119-1131.
  • 8MONTGOMERY S. Hopf algebras and their actions on rings [M]//CBMS Regional Conference Series in Mathematics: Number 82. Providence, Rhode Island: AMS, 1993: 1-86.
  • 9SWEEDLER M E. Hopf algebras [M]. New York: W. A. Benjamin, Inc., 1969: 1-37.
  • 10吴美云,唐秋林.二面体群上Hopf路余代数的结构分类[J].数学年刊（A辑）,2007,28(5):709-718. 被引量：5

引证文献1

数学学报（中文版）
2008年 第2期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部