Representations of simple finite Lie conformal superalgebras of type W and S

Abstract

We construct all finite irreducible modules over Lie conformal superalgebras of type W and S.

Final version.

References in corpus (3)

• Theory of Finite Pseudoalgebras
• Finite conformal modules over the N=2,3,4 superconformal algebras
• Representations of the Exceptional Lie superalgebra $E(3,6): II. Four series of degenerate modules

Cited by in corpus (9)

• Classification of finite irreducible modules over the Lie conformal superalgebra CK6
• Irreducible modules over finite simple Lie conformal superalgebras of type K
• Lie conformal superalgebras and duality of modules over linearly compact Lie superalgebras
• Deformations and generalized derivations of Lie conformal superalgebras
• Finite irreducible conformal modules over the Lie conformal superalgebra $\mathcal{S}(p)$
• Classification of finite irreducible conformal modules for $K_4^{\prime }$
• An upper bound on the degree of singular vectors for $E(1,6)$
• Classification of simple differential Lie and Jordan (super)coalgebras of finite rank
• Computation of the homology of the complexes of finite Verma modules for $K_4^{\prime }$