The completeness conjecture for morphisms between degenerate Verma modules over E(5,10)
The completeness conjecture for morphisms between degenerate Verma modules over E(5,10)
Let be the exceptional Lie superalgebra, and consider its degenerate (minimal) Verma modules. The source constructs morphisms of degrees , , and in addition to those of degrees and , 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 ; in particular, there are no morphisms of degrees larger than . 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.
Sources & referencesView supporting material
Primary source
Alexei Rudakov, “Morphisms of Verma modules over exceptional Lie superalgebra E(5,10)”, arXiv:1003.1369 (2010).
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