期刊文献+

Virasoro代数的不可分解模 被引量:1

原文传递
导出
摘要 证明了Virasoro代数的不可分解Harish Chandra模一定是 (ⅰ )一致有界模 ,或 (ⅱ )范畴O的模 ,或 (ⅲ )范畴O -的模 ,或 (ⅳ )
作者 苏育才
出处 《中国科学(A辑)》 CSCD 北大核心 2001年第5期392-395,共4页 Science in China(Series A)
基金 教育部留学回国基金!资助项目
  • 相关文献

参考文献10

  • 1[1]Chari V, Pressley A. Unitary representations of the Virasoro algebra and a conjecture of Kac. Compositio Math, 1988, 67: 315~342
  • 2[2]Feigin B L, Fuchs D B. Verma modules over the Virasoro algebra. Lecture Notes in Math, 1984, 1060: 230~245
  • 3[3]Kac V G. Some problems on infinite-dimensional Lie algebras and their representations. Lie algebras and related topics. Lecture Notes in Math, 1982, 933: 117~126
  • 4[4]Kac V G. Infinite dimensional Lie algebras. 2nd ed. Boston: Birkhuser, 1985
  • 5[5]Kaplansky I, Santharoubane L J. Harish-Chandra modules over the Virasoro algebra. In: Infinite-Dimensional Groups with Application. Math Sci Res Inst Publ, 4. 1985. 217~231
  • 6[6]Langlands R. On unitary representations of the Virasoro algebra. In: Infinite-Dimensional Lie algebras and Their Application. Singapore: World Scientific, 1986. 141~159
  • 7[7]Martin C, Piard A. Indecomposable modules over the Virasoro Lie algebra and a conjecture of V. Kac. Comm Math Phys, 1991, 137: 109~132
  • 8[8]Mathieu O. Classification of Harish-Chandra modules over the Virasoro Lie algebra. Invent Math, 1992, 107: 225~234
  • 9[9]Su Y. A classification of indecomposable sl2(C)-modules and a conjecture of Kac on irreducible modules over the Virasoro algebra. J Alg, 1993, 161: 33~46
  • 10[10]Su Y. Classification of Harish-Chandra modules over the super-Virasoro algebras. Comm Alg, 1995, 23: 3653~3675

同被引文献7

  • 1Su Yucai.Classification of Harish-Chandra modules over the super-Virasoro algebras[J].Comm Alg,1995,23(10):3653.
  • 2Martin C,Piard A.Indecomposable modules over the Virasoro Lie algebra and a conjecture of V Kac[J].Commun Math Phys,1991,137(1):109.
  • 3Mathieu O.Classification of Harish-Chandra modules over the Virasorso Lie algebras[J].Invent Math,1992,107(2):225.
  • 4Kaplansky I,Satharoubane L J.Harish-Chandra modules over the Virasoro algebra[J].MSRI Publ,1985,4:217.
  • 5Su Yucai.A classification of indecomposable sl2(C)-modules and a conjecture of Kac on irreducible modules over the Virasoro algebra[J].J Algebra,1993,161(1):33.
  • 6Su Yucai.A complete classification of indecomposable Harish-Chandra modules of the Lie superalgebra B(0,1)[J].Comm Alg,1992,20(2):573.
  • 7Scheunert M.The Theory of Lie Superalgebras[M].Berlin:Springer-Verlag,1978.108-111.

引证文献1

二级引证文献1

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