Higher symmetries of symplectic Dirac operator

• Autoři: SOMBERG Petr; ŠILHAN Josef
• Rok publikování: 2020
• Druh: Článek v odborném periodiku
• Časopis / Zdroj: Geometriae Dedicata
• Fakulta / Pracoviště MU: Přírodovědecká fakulta
• www: https://doi.org/10.1007/s10711-020-00529-3
• Doi: https://doi.org/10.1007/s10711-020-00529-3
• Klíčová slova: Symplectic Dirac operator; Higher symmetry algebra; Projective differential geometry; Minimal nilpotent orbit; sl(3.R)
• Popis: 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).

Související projekty

• Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku