Cuspidal Modules for Solenoidal Lie Algebras over Rational Quantum Tori

被引:0
作者
Xu, Chengkang [1 ]
机构
[1] Shangrao Normal Univ, Shangrao 334000, Jiangxi, Peoples R China
基金
中国国家自然科学基金;
关键词
Solenoidal Lie algebra; cuspidal module; quantum torus; gap-p Virasoro algebra; IRREDUCIBLE WEIGHT MODULES; CLASSIFICATION; DIFFEOMORPHISMS; REPRESENTATIONS;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We classify all irreducible cuspidal modules for solenoidal Lie algebras over rational quantum tori, generalizing the results about cuspidal modules for solenoidal Lie algebras over commuting tori and the gap-p Virasoro algebras.
引用
收藏
页码:837 / 849
页数:13
相关论文
共 16 条
[1]   Quantum tori and the structure of elliptic quasi-simple Lie algebras [J].
Berman, S ;
Gao, Y ;
Krylyuk, YS .
JOURNAL OF FUNCTIONAL ANALYSIS, 1996, 135 (02) :339-389
[2]   Classification of simple cuspidal modules for solenoidal Lie algebras [J].
Billig, Yuly ;
Futorny, Vyacheslav .
ISRAEL JOURNAL OF MATHEMATICS, 2017, 222 (01) :109-123
[3]   Classification of irreducible representations of Lie algebra of vector fields on a torus [J].
Billig, Yuly ;
Futorny, Vyacheslav .
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2016, 720 :199-216
[4]   CONFORMAL FIELDS - A CLASS OF REPRESENTATIONS OF VECT(N) [J].
LARSSON, TA .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1992, 7 (26) :6493-6508
[5]   Classification of irreducible bounded weight modules over the derivation Lie algebras of quantum tori [J].
Liu, Genqiang ;
Zhao, Kaiming .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 495 :11-23
[6]   Classification of irreducible weight modules over higher rank Virasoro algebras [J].
Lu, Rencai ;
Zhao, Kaiming .
ADVANCES IN MATHEMATICS, 2006, 206 (02) :630-656
[7]   CLASSIFICATION OF IRREDUCIBLE WEIGHT MODULES OVER THE TWISTED HEISENBERG-VIRASORO ALGEBRA [J].
Lue, Rencai ;
Zhao, Kaiming .
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2010, 12 (02) :183-205
[8]   CLASSIFICATION OF HARISH-CHANDRA MODULES OVER THE VIRASORO LIE-ALGEBRA [J].
MATHIEU, O .
INVENTIONES MATHEMATICAE, 1992, 107 (02) :225-234
[9]   On the classification of rational quantum tori and the structure of their automorphism groups [J].
Neeb, Karl-Hermann .
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2008, 51 (02) :261-282
[10]   Partial classification of modules for Lie-algebra of diffeomorphisms of d-dimensional torus [J].
Rao, SE .
JOURNAL OF MATHEMATICAL PHYSICS, 2004, 45 (08) :3322-3333