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. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - ELETTRONICO. - 63:9(2022), pp. 091701.1-091701.41. [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 complexes| File | Dimensione | Formato | |
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