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