We classify finite irreducible modules over the conformal superalgebra K′_4 by their correspondence with finite conformal modules over the associated annihilation superalgebra A(K′_4). This is achieved by a complete classification of singular vectors in generalized Verma modules for A(K′_4). We also show that morphisms between generalized Verma modules can be arranged in infinitely many bilateral complexes

Classification of finite irreducible conformal modules for K'_4

bagnoli lucia
;
caselli fabrizio
2022

Abstract

We classify finite irreducible modules over the conformal superalgebra K′_4 by their correspondence with finite conformal modules over the associated annihilation superalgebra A(K′_4). This is achieved by a complete classification of singular vectors in generalized Verma modules for A(K′_4). We also show that morphisms between generalized Verma modules can be arranged in infinitely many bilateral complexes
2022
bagnoli lucia, caselli fabrizio
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/893545
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