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 $\mathcal A(K'_{4})$.
Computation of the homology of the complexes of finite Verma modules for K'4 / Bagnoli, L.. - In: ALGEBRAS AND REPRESENTATION THEORY. - ISSN 1386-923X. - 26:(2023), pp. 2627-2682. [10.1007/s10468-022-10176-9]
Computation of the homology of the complexes of finite Verma modules for K'4
Bagnoli, Lucia
2023
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 $\mathcal A(K'_{4})$.File allegati a questo prodotto
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