Classification of finite irreducible conformal modules over a class of Lie conformal algebras of Block type
Classification of finite irreducible conformal modules over a class of Lie conformal algebras of Block type
复制标题
一类 Block 型李共形代数上有限不可约共形模的分类
DOI：
10.1016/j.jalgebra.2017.12.010
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发表时间：
2018
影响因子：
0.9
通讯作者：
Yuan Lamei
中科院分区：
文献类型：
--
作者：
Su Yucai;Xia Chunguang;Yuan Lamei
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 Vir if p=− 1, where Vir 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.
