Loop Schrodinger-Virasoro Lie conformal algebra

被引：7

作者：

Chen, Haibo ^{[1
]}

Han, Jianzhi ^{[1
]}

Su, Yucai ^{[1
]}

Xu, Ying ^{[2
]}

机构：

[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

[2] Hefei Univ Technol, Dept Math, Hefei 230009, Anhui, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2016年 / 27卷 / 06期

关键词：

Lie conformal algebra; conformal derivation; second cohomology group; conformal module; COHOMOLOGY;

D O I：

10.1142/S0129167X16500579

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce two kinds of Lie conformal algebras, associated with the loop Schrodinger-Virasoro Lie algebra and the extended loop Schrodinger-Virasoro Lie algebra, respectively. The conformal derivations, the second cohomology groups of these two conformal algebras are completely determined. And nontrivial free conformal modules of rank one and Z-graded free intermediate series modules over these two conformal algebras are also classified in the present paper.

引用

页数：17

共 18 条

[1]

[Anonymous], 1993, DIRAC STRUCTURES INT

[2] Cohomology of conformal algebras [J].

Bakalov, B ;

Kac, VG ;

Voronov, AA .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1999, 200 (03) :561-598

[3]

Chen H., ARXIV150901916

[4]

Cheng S.-J., 1997, Asian J. Math, V1, P181, DOI DOI 10.4310/AJM.1997.v1.n1.a6

[5]

DAndrea A., 1998, Selecta Math.-New Ser., V4, P377, DOI DOI 10.1007/s000290050036

[6] Lie Conformal Algebra Cohomology and the Variational Complex [J].

De Sole, Alberto ;

Kac, Victor G. .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2009, 292 (03) :667-719

[7] Loop Heisenberg-Virasoro Lie conformal algebra [J].

Fan, Guangzhe ;

Su, Yucai ;

Wu, Henan .

JOURNAL OF MATHEMATICAL PHYSICS, 2014, 55 (12)

[8] ] The Lie Conformal Algebra of a Block Type Lie Algebra [J].

Gao, Ming ;

Xu, Ying ;

Yue, Xiaoqing .

ALGEBRA COLLOQUIUM, 2015, 22 (03) :367-382

[9] Lie bialgebra structures on the Schrodinger-Virasoro Lie algebra [J].

Han, Jianzhi ;

Li, Junbo ;

Su, Yucai .

JOURNAL OF MATHEMATICAL PHYSICS, 2009, 50 (08)

[10] SCHRODINGER INVARIANCE AND STRONGLY ANISOTROPIC CRITICAL SYSTEMS [J].

HENKEL, M .

JOURNAL OF STATISTICAL PHYSICS, 1994, 75 (5-6) :1023-1061

← 1 2 →