Representations of Lie conformal algebras related to Galilean conformal algebras

被引：1

作者：

Han, Xiu ^{[1
,2
]}

Wang, Dengyin ^{[1
]}

Xia, Chunguang ^{[1
]}

机构：

[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China

[2] Xuzhou Univ Technol, Sch Math & Phys, Xuzhou, Jiangsu, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2022年 / 50卷 / 06期

关键词：

Conformal module; extension problem; Galilean conformal algebra; Lie conformal algebra; COHOMOLOGY;

D O I：

10.1080/00927872.2021.2007393

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the representation theory of Lie conformal analogues r(a, b) of certain Galilean conformal algebras, where a, b are complex numbers. We first classify their finite irreducible conformal modules, and then solve the extension problem. In particular, we obtain several classes of new indecomposable conformal modules over r(a, b).

引用

页码：2427 / 2438

页数：12

共 18 条

[1] Tensionless strings and Galilean Conformal Algebra [J].

Bagchi, Arjun .

JOURNAL OF HIGH ENERGY PHYSICS, 2013, (05)

[2] Galilean conformal algebras and AdS/CFT [J].

Bagchi, Arjun ;

Gopakumar, Rajesh .

JOURNAL OF HIGH ENERGY PHYSICS, 2009, (07)

[3] On representations and correlation functions of Galilean conformal algebras [J].

Bagchi, Arjun ;

Mandal, Ipsita .

PHYSICS LETTERS B, 2009, 675 (3-4) :393-397

[4] Cohomology of conformal algebras [J].

Bakalov, B ;

Kac, VG ;

Voronov, AA .

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

[5] VERTEX ALGEBRAS, KAC-MOODY ALGEBRAS, AND THE MONSTER [J].

BORCHERDS, RE .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1986, 83 (10) :3068-3071

[6]

Cheng S., 1998, TOPOLOGICAL FIELD TH, V160

[7]

Cheng S.-J., 1997, ASIAN J MATH, P181, DOI DOI 10.4310/AJM.1997.v1.n1.a6

[8]

Cheng S.-J., 1998, Asian J. Math., V2, P153

[9]

DAndrea A., 1998, SEL MATH-NEW SER, V4, P377, DOI DOI 10.1007/s000290050036

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

De Sole, Alberto ;

Kac, Victor G. .

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

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