Computation of the homology of the complexes of finite Verma modules for $K_4^{\prime }$

Abstract

We compute the homology of the complexes of finite Verma modules over the annihilation superalgebra $\mathcal{A}(K_4^{\prime })$, associated with the conformal superalgebra $K_4^{\prime }$, obtained in \cite{K4}. We use the computation of the homology in order to provide an explicit realization of all the irreducible quotients of finite Verma modules over $\mathcal{A}(K_4^{\prime })$.

50 pages

References in corpus (4)

• Representations of simple finite Lie conformal superalgebras of type W and S
• Lie conformal superalgebras and duality of modules over linearly compact Lie superalgebras
• Classification of degenerate Verma modules for E(5,10)
• Classification of finite irreducible conformal modules for $K_4^{\prime }$