We classify finite irreducible conformal modules over a class of infinite Lie conformal algebras ${ \frak { B}}(p)$ of Block type, where $p$ is a nonzero complex number. In particular, we obtain that a finite irreducible conformal module over ${ \frak { B}}(p)$ may be a nontrivial extension of a finite conformal module over ${ \frak { Vir}}$ if $p=-1$, where ${ \frak { Vir}}$ is a Virasoro conformal subalgebra of ${ \frak { B}}(p)$. As a byproduct, we also obtain the classification of finite irreducible conformal modules over a series of finite Lie conformal algebras ${ \frak b}(n)$ for $n\ge1$.
Categories: math.RA