Higher symmetries of symplectic Dirac operator
| Authors | |
|---|---|
| Year of publication | 2020 |
| Type | Article in Periodical |
| Magazine / Source | Geometriae Dedicata |
| MU Faculty or unit | |
| Citation | |
| Web | https://doi.org/10.1007/s10711-020-00529-3 |
| Doi | http://dx.doi.org/10.1007/s10711-020-00529-3 |
| Keywords | Symplectic Dirac operator; Higher symmetry algebra; Projective differential geometry; Minimal nilpotent orbit; sl(3.R) |
| Description | We construct in projective differential geometry of the real dimension 2 higher symmetry algebra of the symplectic Dirac operator D-s acting on symplectic spinors. The higher symmetry differential operators correspond to the solution space of a class of projectively invariant overdetermined operators of arbitrarily high order acting on symmetric tensors. The higher symmetry algebra structure corresponds to a completely prime primitive ideal having as its associated variety the minimal nilpotent orbit of sl(3,R). |
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