Finite irreducible conformal modules over the Lie conformal superalgebra S(p)

JOURNAL OF GEOMETRY AND PHYSICS

卷:166

Article

Chen, Haibo¹  Hong, Yanyong²  Su, Yucai³ 

[1] Shanghai Lixin Univ Accounting & Finance, Sch Stat & Math, Shanghai 201209, Peoples R China

[2] Hangzhou Normal Univ, Dept Math, Hangzhou 311121, Peoples R China

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

关键词: Lie conformal superalgebra;    Finite conformal module;    Irreducible;   

DOI  :  10.1016/j.geomphys.2021.104256

来源: Elsevier

【 摘 要 】

In the present paper, we introduce a class of infinite Lie conformal superalgebras S(p), which are closely related to Lie conformal algebras of extended Block type defined in [6]. Then all finite non-trivial irreducible conformal modules over S(p) for p is an element of (C* are completely classified. As an application, we also present the classifications of finite nontrivial irreducible conformal modules over finite quotient algebras s(n) for n >= 1 and 0) which is isomorphic to a subalgebra of Lie conformal algebra of N = 2 superconformal algebra. Moreover, as a generalized version of S(p), the infinite Lie conformal superalgebras GS(p) are constructed, which have a subalgebra isomorphic to the finite Lie conformal algebra of N = 2 superconformal algebra. (C) 2021 Elsevier B.V. All rights reserved.

【 授权许可】

Free