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 $\mathcal{A}(K_4^{\prime })$.

arXiv comment50 pages

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