Classification of finite irreducible conformal modules over a class of Lie conformal algebras of Block type

JOURNAL OF ALGEBRA

卷:499

Article

Su, Yucai¹  Xia, Chunguang²  Yuan, Lamei³ 

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

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

[3] Harbin Inst Technol, Acad Fundamental & Interdisciplinary Sci, Harbin 150080, Heilongjiang, Peoples R China

关键词: Finite conformal module;    Lie conformal algebras of Block type;    Virasoro conformal algebra;   

DOI  :  10.1016/j.jalgebra.2017.12.010

来源: Elsevier

【 摘 要 】

We classify finite irreducible conformal modules over a class of infinite Lie conformal algebras B(p) of Block type, where p is a nonzero complex number. In particular, we obtain that a finite irreducible conformal module over B(p) may be a nontrivial extension of a finite conformal module over Dir if p = -1, where Dir is a Virasoro conformal subalgebra of B(p). As a byproduct, we also obtain the classification of finite irreducible conformal modules over a series of finite Lie conformal algebras b(n) for n >= 1. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free