Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896407 | Journal of Algebra | 2018 | 16 Pages |
Abstract
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=â1, 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 nâ¥1.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Yucai Su, Chunguang Xia, Lamei Yuan,