The completeness conjecture for morphisms between degenerate Verma modules over E(5,10)

Let E(5,10)E(5,10) be the exceptional Lie superalgebra, and consider its degenerate (minimal) Verma modules. The source constructs morphisms of degrees 22, 33, and 55 in addition to those of degrees 11 and 44, namely the morphisms listed in Propositions 2, 3, and 5 and Theorems 4.2 and 4. The completeness conjecture. These listed morphisms are all morphisms between degenerate (minimal) Verma modules for E(5,10)E(5,10); in particular, there are no morphisms of degrees larger than 55. The claim would give a complete description of morphisms among the degenerate Verma modules, but the supplied text provides no proof or resolution of it.

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Primary source

Alexei Rudakov, “Morphisms of Verma modules over exceptional Lie superalgebra E(5,10)”, arXiv:1003.1369 (2010).

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