[1]温琴珠.q-类似Virasoro-Like代数的模[J].华侨大学学报(自然科学版),2010,31(1):106-108.[doi:10.11830/ISSN.1000-5013.2010.01.0106]
　WEN Qin-zhu.Modules of the q-Analog of the Virasoro-Like Algebra[J].Journal of Huaqiao University(Natural Science),2010,31(1):106-108.[doi:10.11830/ISSN.1000-5013.2010.01.0106]
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q-类似Virasoro-Like代数的模()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第31卷
期数:
2010年第1期
页码:
106-108
栏目:
出版日期:
2010-01-20

文章信息/Info

Title:
Modules of the q-Analog of the Virasoro-Like Algebra
文章编号:
1000-5013(2010)01-0106-03
作者:
温琴珠
华侨大学数学科学学院
Author(s):
WEN Qin-zhu
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
量子环面;  导子;  q-类似;  Virasoro-Like代数;  不可约模
Keywords:
quantnr tours;  derivation;  q-analog;  Virasoro-Like algebra;  irreducible module
分类号:
O152.5
DOI:
10.11830/ISSN.1000-5013.2010.01.0106
文献标志码:
A
摘要:
直接从任意维向量空间出发,构造李代数Lq的一类模M(α,a1,a2),并研究其结构.证明这一类模都是完全可约的,并在不同参数情形给出了该模的全部不可约因子.
Abstract:
A class of modules M(α,a1,a2) for Lie algebra Lq is constructed,and the structure of the modules is studied.It is proved that the modules are completely reducible.A irreducible quotient modules are obtaied.

参考文献/References:

[1] MENG Dao-ji, JIANG Cui-po. The derivation algebra and the universal central extension of the q-analog of the virasoro-like algebra [J]. Communications in Algebra, 1998(4):1335-1346.
[2] LARSSON T A. Conformal fields:A class of representations of Vect (n) [J]. International Journal of Modern Physics A, 1993(6):1181-1182.
[3] RAO S E. Irreducible reqresentations of the Lie-algebra of the diffeomorphisms of ad-dimensional torus [J]. Journal of Algebra, 1996(2):401-421.
[4] 林卫强, 谭绍滨. 量子环面上斜导子李代数的表示 [J]. 数学进展, 2005(4):477-487.doi:10.3969/j.issn.1000-0917.2005.04.012.

备注/Memo

备注/Memo:
华侨大学科研基金资助项目(06HZR05)
更新日期/Last Update: 2014-03-23