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非阶化Virasoro代数和Virasoro超代数及其中间序列模 被引量：3

Nongraded Virasoro and Super-Virasoro Algebras and Modules of Intermediate Series
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摘要 介绍非阶化Virasoro(超)代数的概念,给出非阶化Virasoro(超)代数的中间序列模,并对非阶化Virasoro代数的子代数(秩为1的非阶化Witt代数)的中间序列模进行分类． A notion of the nongraded （super） Virasoro algebras is introduced, and the modules of the intermediate series over the nongraded Virasoro and super-Virasoro algebras are presented, and the modules of the intermediate series over a subalgebra of the non-graded Virasoro algebra （a rank 1 non-graded Witt algebra） are classified.
作者 朱琳 苏育才
机构地区 上海交通大学数学系 中国科学技术大学数学系
出处 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2006年第2期325-333,共9页 数学研究与评论（英文版）
关键词 非阶化Virasoro代数 中间序列模 子代数 non-graded Virasoro algebra module of the intermediate series.
分类号 O153 [理学—基础数学]
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参考文献12

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  • 4SU Yu-cai. Harish-Chandra modules of the intermediate series over the high rank Virasoro algebras and high rank super-Virasoro algebras [J]. J. Math. Phys., 1994, 35: 2013-2023.
  • 5SU Yu-cai. Simple modules over the high rank Virasoro algebras [J]. Comm. Algebra, 2001, 29: 2067-2080.
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  • 8SU Yu-cai,ZHAO Kai-ming. Generalized Virasoro and super-Virasoro algebras and modules of the intermediate series [J]. J. Algebra, 2002, 252: 1-19.
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  • 10SU Yu-cai, ZHAO Kai-ming. Second cohomology group of generalized Witt type Lie algebras and certain representations [J]. Comm. Algebra, 20021 30: 3285-3309.

同被引文献14

  • 1苏育才,赵开明.Simple algebras of Weyl type[J].Science China Mathematics,2001,44(4):419-426. 被引量：3
  • 2Ran SHEN,Yu Cai SU.Classification of Irreducible Weight Modules with a Finite-dimensional Weight Space over Twisted Heisenberg-Virasoro Algebra[J].Acta Mathematica Sinica,English Series,2007,23(1):189-192. 被引量：11
  • 3I. Kaplansky. The Virasoro algebra [ J ], Comm. Math. Phys. , 1982,86:49-54.
  • 4O. Mathieu. Classification of Harish-Chandra modules over the Virasoro Lie algebra[J], J. Imvent. Math. , 1992, 107:225-234.
  • 5SU Yu-cai. Simple modules over the high rank Virasoro algebras[J]. J. Comm. Algebra. 2001,29:2067-2080.
  • 6J. Parera , H. Zassenhaus. The higher rank Virasoro algebras [ J ]. Comm. Math. Phys., 1991,136 : 1-14.
  • 7SU Yu-cai. Harish-Chandra modules of the intermediate series over the high rank Virasoro algebras and high rank super-Virasoro algebras [ J ]. J. Math. Phys. , 1994,35 : 2013-2023.
  • 8SU Yu-cai, ZHAO Kai-ming. Generalized Virasoro and super-Virasoro algebras and modules of the intermediate series [ J ]. J. Algebra,2002, 252 : 1-19.
  • 9SU Yu-cai,ZHAO Kai-ming. Second cohomology group of generalized Witt type Lie algebras and certain representations[ J]. J. Comm. Algebra,2002 ,30:3285-3309.
  • 10GAO Shou-lan, JIANG Cui-po. Representation for the non-graded Virasoro-like algebra [ OL ]. http://arxiv. org/abs/0711. 2371.

引证文献3

二级引证文献2

Journal of Mathematical Research and Exposition
2006年 第2期

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