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
bagnoli lucia, c.f. (2022). Classification of finite irreducible conformal modules for K'_4. JOURNAL OF MATHEMATICAL PHYSICS, 63(9), 1-41 [10.1063/5.0098441].
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 complexesFile in questo prodotto:
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