Classification of finite irreducible modules over the Lie conformal superalgebra CK6

Abstract

We classify all continuous degenerate irreducible modules over the exceptional linearly compact Lie superalgebra E(1, 6), and all finite degenerate irreducible modules over the exceptional Lie conformal superalgebra CK6, for which E(1, 6) is the annihilation algebra.

References in corpus (3)

• Finite conformal modules over the N=2,3,4 superconformal algebras
• Representations of simple finite Lie conformal superalgebras of type W and S
• Irreducible modules over finite simple Lie conformal superalgebras of type K

Cited by in corpus (6)

• On the Hochschild cohomologies of associative conformal algebras with a finite faithful representation
• Lie conformal superalgebras and duality of modules over linearly compact Lie 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 $E(1,6)$
• Computation of the homology of the complexes of finite Verma modules for $K_4^{\prime }$