A new class of Z-graded Lie conformal algebras of infinite rank

Abstract

In this paper, a new class of $\mathbb{Z}$-graded Lie conformal algebras $\CW(a,c)$ of infinite rank is constructed. The conformal derivations and one-dimensional central extensions of $\CW(a,c)$ are completely determined. And all conformal modules of rank one over $\CW(a,c) (a\neq0)$ are proved to be trivial and all such nontrivial (irreducible) modules over $\CW(0,c)$ are classified.

11 pages

References in corpus (2)

• Central extensions and conformal derivations of a class of Lie conformal algebras
• The Lie conformal algebra of a Block type Lie algebra

Cited by in corpus (3)

• Simplicity of quadratic Lie conformal algebras
• On a class of infinite simple Lie conformal algebras
• Loop W(a,b) Lie conformal algebra