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arXiv · 2108.00458

Computation of the homology of the complexes of finite Verma modules for $K'_4$

Lucia Bagnoli
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Abstract

We compute the homology of the complexes of finite Verma modules over the annihilation superalgebra $\mathcal A(K'_{4})$, associated with the conformal superalgebra $K'_{4}$, 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 $\mathcal A(K'_{4})$.

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Lucia Bagnoli. 2021-08-01. Computation of the homology of the complexes of finite Verma modules for $K'_4$. https://doi.org/10.1007/s10468-022-10176-9

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