Higher symmetries of symplectic Dirac operator

Investor logo

Warning

This publication doesn't include Faculty of Economics and Administration. It includes Faculty of Science. Official publication website can be found on muni.cz.
Authors

SOMBERG Petr ŠILHAN Josef

Year of publication 2020
Type Article in Periodical
Magazine / Source Geometriae Dedicata
MU Faculty or unit

Faculty of Science

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).
Related projects:

You are running an old browser version. We recommend updating your browser to its latest version.