In this companion paper to our article { \em Accidental CR structures} (arxiv.org, January 2023), thought of as an appendix not submitted for publication, we provide complete explicit lists of infinitesimal CR automorphisms for the concerned CR models having respective Lie algebra structures: $${ \bf E}_{ II}, \qquad\ { \bf E}_{ III}, \qquad\ \mathfrak{ so}(\ell-1,\ell+1), \qquad\ \mathfrak{ su}(p,q).$$ We start from our lists of { \em quadric} CR submanifolds $M^{ 2n+c} \subset \mathbb{ C}^{ n+c}$ of codimension $c >1$ which are shown to be { \em accidental}, in the sense that their CR symmetry groups are { \em equal to} (and not smaller than) the symmetry groups of the underlying real distribution structures -- after forgetting the complex structure. Thanks to intensive symbolic computer explorations, we then determine embedded vector field generators of these CR symmetries Lie algebras, and we express them in { \em extrinsic} holomorphic coordinates, because intrinsic formulas would be too extended to be shown.
Categories: math.CV math-ph math.DG math.MP